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Finding the Fourth Proportional to 410,316.74, 615,744.22 and 144,070.40

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Solution

The fourth proportional to 410,316.74, 615,744.22 and 144,070.40 is: 216,200.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,316.74 : 615,744.22 = 144,070.40 : x
  2. Step 2: Convert to fraction form
    410,316.74/615,744.22 = 144,070.40/x
  3. Step 3: Cross multiply
    410,316.74x = 615,744.22 × 144,070.40
  4. Step 4: Simplify right side
    410,316.74x = 88,710,516,073.09
  5. Step 5: Solve for x
    x = 88,710,516,073.09/410,316.74
  6. Step 6: Final answer
    x = 216,200.09

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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.