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Finding the Fourth Proportional to 410,411.52, 615,682.08 and 157,681.92

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Solution

The fourth proportional to 410,411.52, 615,682.08 and 157,681.92 is: 236,547.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,411.52 : 615,682.08 = 157,681.92 : x
  2. Step 2: Convert to fraction form
    410,411.52/615,682.08 = 157,681.92/x
  3. Step 3: Cross multiply
    410,411.52x = 615,682.08 × 157,681.92
  4. Step 4: Simplify right side
    410,411.52x = 97,081,932,483.99
  5. Step 5: Solve for x
    x = 97,081,932,483.99/410,411.52
  6. Step 6: Final answer
    x = 236,547.78

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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.