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Finding the Fourth Proportional to 553,385.80, 830,078.70 and 413,417.80

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Solution

The fourth proportional to 553,385.80, 830,078.70 and 413,417.80 is: 620,126.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,385.80 : 830,078.70 = 413,417.80 : x
  2. Step 2: Convert to fraction form
    553,385.80/830,078.70 = 413,417.80/x
  3. Step 3: Cross multiply
    553,385.80x = 830,078.70 × 413,417.80
  4. Step 4: Simplify right side
    553,385.80x = 343,169,309,980.86
  5. Step 5: Solve for x
    x = 343,169,309,980.86/553,385.80
  6. Step 6: Final answer
    x = 620,126.70

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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.