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Finding the Fourth Proportional to 438,421.40, 657,632.10 and 288,830.60

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Solution

The fourth proportional to 438,421.40, 657,632.10 and 288,830.60 is: 433,245.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,421.40 : 657,632.10 = 288,830.60 : x
  2. Step 2: Convert to fraction form
    438,421.40/657,632.10 = 288,830.60/x
  3. Step 3: Cross multiply
    438,421.40x = 657,632.10 × 288,830.60
  4. Step 4: Simplify right side
    438,421.40x = 189,944,274,022.26
  5. Step 5: Solve for x
    x = 189,944,274,022.26/438,421.40
  6. Step 6: Final answer
    x = 433,245.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.