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Finding the Fourth Proportional to 438,465.60, 657,698.40 and 413,971.20

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Solution

The fourth proportional to 438,465.60, 657,698.40 and 413,971.20 is: 620,956.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,465.60 : 657,698.40 = 413,971.20 : x
  2. Step 2: Convert to fraction form
    438,465.60/657,698.40 = 413,971.20/x
  3. Step 3: Cross multiply
    438,465.60x = 657,698.40 × 413,971.20
  4. Step 4: Simplify right side
    438,465.60x = 272,268,195,886.08
  5. Step 5: Solve for x
    x = 272,268,195,886.08/438,465.60
  6. Step 6: Final answer
    x = 620,956.80

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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.