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Finding the Fourth Proportional to 410,513.47, 615,518.70 and 144,304.54

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Solution

The fourth proportional to 410,513.47, 615,518.70 and 144,304.54 is: 216,368.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,513.47 : 615,518.70 = 144,304.54 : x
  2. Step 2: Convert to fraction form
    410,513.47/615,518.70 = 144,304.54/x
  3. Step 3: Cross multiply
    410,513.47x = 615,518.70 × 144,304.54
  4. Step 4: Simplify right side
    410,513.47x = 88,822,140,784.96
  5. Step 5: Solve for x
    x = 88,822,140,784.96/410,513.47
  6. Step 6: Final answer
    x = 216,368.40

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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.