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Finding the Fourth Proportional to 410,686.57, 614,531.14 and 242,287.57

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Solution

The fourth proportional to 410,686.57, 614,531.14 and 242,287.57 is: 362,547.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,686.57 : 614,531.14 = 242,287.57 : x
  2. Step 2: Convert to fraction form
    410,686.57/614,531.14 = 242,287.57/x
  3. Step 3: Cross multiply
    410,686.57x = 614,531.14 × 242,287.57
  4. Step 4: Simplify right side
    410,686.57x = 148,893,254,457.88
  5. Step 5: Solve for x
    x = 148,893,254,457.88/410,686.57
  6. Step 6: Final answer
    x = 362,547.17

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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.