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Finding the Fourth Proportional to 402,062.34, 605,983.50 and 346,572.18

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Solution

The fourth proportional to 402,062.34, 605,983.50 and 346,572.18 is: 522,349.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,062.34 : 605,983.50 = 346,572.18 : x
  2. Step 2: Convert to fraction form
    402,062.34/605,983.50 = 346,572.18/x
  3. Step 3: Cross multiply
    402,062.34x = 605,983.50 × 346,572.18
  4. Step 4: Simplify right side
    402,062.34x = 210,017,022,639.03
  5. Step 5: Solve for x
    x = 210,017,022,639.03/402,062.34
  6. Step 6: Final answer
    x = 522,349.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.