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Finding the Fourth Proportional to 415,886.60, 623,829.90 and 149,947.40

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Solution

The fourth proportional to 415,886.60, 623,829.90 and 149,947.40 is: 224,921.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,886.60 : 623,829.90 = 149,947.40 : x
  2. Step 2: Convert to fraction form
    415,886.60/623,829.90 = 149,947.40/x
  3. Step 3: Cross multiply
    415,886.60x = 623,829.90 × 149,947.40
  4. Step 4: Simplify right side
    415,886.60x = 93,541,671,547.26
  5. Step 5: Solve for x
    x = 93,541,671,547.26/415,886.60
  6. Step 6: Final answer
    x = 224,921.10

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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.