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Finding the Fourth Proportional to 438,032.80, 657,308.40 and 288,704.80

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Solution

The fourth proportional to 438,032.80, 657,308.40 and 288,704.80 is: 433,228.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,032.80 : 657,308.40 = 288,704.80 : x
  2. Step 2: Convert to fraction form
    438,032.80/657,308.40 = 288,704.80/x
  3. Step 3: Cross multiply
    438,032.80x = 657,308.40 × 288,704.80
  4. Step 4: Simplify right side
    438,032.80x = 189,768,090,160.32
  5. Step 5: Solve for x
    x = 189,768,090,160.32/438,032.80
  6. Step 6: Final answer
    x = 433,228.04

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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.