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Finding the Fourth Proportional to 415,412.40, 623,272.20 and 400,052.40

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Solution

The fourth proportional to 415,412.40, 623,272.20 and 400,052.40 is: 600,226.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,412.40 : 623,272.20 = 400,052.40 : x
  2. Step 2: Convert to fraction form
    415,412.40/623,272.20 = 400,052.40/x
  3. Step 3: Cross multiply
    415,412.40x = 623,272.20 × 400,052.40
  4. Step 4: Simplify right side
    415,412.40x = 249,341,539,463.28
  5. Step 5: Solve for x
    x = 249,341,539,463.28/415,412.40
  6. Step 6: Final answer
    x = 600,226.52

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1.5x scale

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.