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Finding the Fourth Proportional to 438,045.40, 657,068.10 and 288,454.60

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Solution

The fourth proportional to 438,045.40, 657,068.10 and 288,454.60 is: 432,681.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,045.40 : 657,068.10 = 288,454.60 : x
  2. Step 2: Convert to fraction form
    438,045.40/657,068.10 = 288,454.60/x
  3. Step 3: Cross multiply
    438,045.40x = 657,068.10 × 288,454.60
  4. Step 4: Simplify right side
    438,045.40x = 189,534,315,958.26
  5. Step 5: Solve for x
    x = 189,534,315,958.26/438,045.40
  6. Step 6: Final answer
    x = 432,681.90

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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.