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Finding the Fourth Proportional to 407,915.66, 563,004.15 and 260,646.32

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Solution

The fourth proportional to 407,915.66, 563,004.15 and 260,646.32 is: 359,743.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,915.66 : 563,004.15 = 260,646.32 : x
  2. Step 2: Convert to fraction form
    407,915.66/563,004.15 = 260,646.32/x
  3. Step 3: Cross multiply
    407,915.66x = 563,004.15 × 260,646.32
  4. Step 4: Simplify right side
    407,915.66x = 146,744,959,842.23
  5. Step 5: Solve for x
    x = 146,744,959,842.23/407,915.66
  6. Step 6: Final answer
    x = 359,743.38

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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.