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Finding the Fourth Proportional to 438,216.90, 657,130.95 and 201,632.10

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Solution

The fourth proportional to 438,216.90, 657,130.95 and 201,632.10 is: 302,358.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,216.90 : 657,130.95 = 201,632.10 : x
  2. Step 2: Convert to fraction form
    438,216.90/657,130.95 = 201,632.10/x
  3. Step 3: Cross multiply
    438,216.90x = 657,130.95 × 201,632.10
  4. Step 4: Simplify right side
    438,216.90x = 132,498,693,423.50
  5. Step 5: Solve for x
    x = 132,498,693,423.50/438,216.90
  6. Step 6: Final answer
    x = 302,358.70

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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.