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Finding the Fourth Proportional to 553,673.80, 830,510.70 and 413,705.80

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Solution

The fourth proportional to 553,673.80, 830,510.70 and 413,705.80 is: 620,558.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,673.80 : 830,510.70 = 413,705.80 : x
  2. Step 2: Convert to fraction form
    553,673.80/830,510.70 = 413,705.80/x
  3. Step 3: Cross multiply
    553,673.80x = 830,510.70 × 413,705.80
  4. Step 4: Simplify right side
    553,673.80x = 343,587,093,552.06
  5. Step 5: Solve for x
    x = 343,587,093,552.06/553,673.80
  6. Step 6: Final answer
    x = 620,558.70

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.