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Finding the Fourth Proportional to 553,811.60, 830,061.30 and 413,406.20

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Solution

The fourth proportional to 553,811.60, 830,061.30 and 413,406.20 is: 619,619.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,811.60 : 830,061.30 = 413,406.20 : x
  2. Step 2: Convert to fraction form
    553,811.60/830,061.30 = 413,406.20/x
  3. Step 3: Cross multiply
    553,811.60x = 830,061.30 × 413,406.20
  4. Step 4: Simplify right side
    553,811.60x = 343,152,487,800.06
  5. Step 5: Solve for x
    x = 343,152,487,800.06/553,811.60
  6. Step 6: Final answer
    x = 619,619.54

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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.