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Finding the Fourth Proportional to 520,657.57, 780,094.81 and 284,166.19

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Solution

The fourth proportional to 520,657.57, 780,094.81 and 284,166.19 is: 425,762.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,657.57 : 780,094.81 = 284,166.19 : x
  2. Step 2: Convert to fraction form
    520,657.57/780,094.81 = 284,166.19/x
  3. Step 3: Cross multiply
    520,657.57x = 780,094.81 × 284,166.19
  4. Step 4: Simplify right side
    520,657.57x = 221,676,569,996.47
  5. Step 5: Solve for x
    x = 221,676,569,996.47/520,657.57
  6. Step 6: Final answer
    x = 425,762.69

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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.