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Finding the Fourth Proportional to 438,420.80, 657,303.15 and 238,966.40

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Solution

The fourth proportional to 438,420.80, 657,303.15 and 238,966.40 is: 358,270.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,420.80 : 657,303.15 = 238,966.40 : x
  2. Step 2: Convert to fraction form
    438,420.80/657,303.15 = 238,966.40/x
  3. Step 3: Cross multiply
    438,420.80x = 657,303.15 × 238,966.40
  4. Step 4: Simplify right side
    438,420.80x = 157,073,367,464.16
  5. Step 5: Solve for x
    x = 157,073,367,464.16/438,420.80
  6. Step 6: Final answer
    x = 358,270.79

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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.