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Finding the Fourth Proportional to 506,429.54, 698,795.11 and 291,528.07

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Solution

The fourth proportional to 506,429.54, 698,795.11 and 291,528.07 is: 402,264.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,429.54 : 698,795.11 = 291,528.07 : x
  2. Step 2: Convert to fraction form
    506,429.54/698,795.11 = 291,528.07/x
  3. Step 3: Cross multiply
    506,429.54x = 698,795.11 × 291,528.07
  4. Step 4: Simplify right side
    506,429.54x = 203,718,389,743.74
  5. Step 5: Solve for x
    x = 203,718,389,743.74/506,429.54
  6. Step 6: Final answer
    x = 402,264.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.