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Finding the Fourth Proportional to 359,952.64, 496,691.84 and 216,710.40

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Solution

The fourth proportional to 359,952.64, 496,691.84 and 216,710.40 is: 299,034.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,952.64 : 496,691.84 = 216,710.40 : x
  2. Step 2: Convert to fraction form
    359,952.64/496,691.84 = 216,710.40/x
  3. Step 3: Cross multiply
    359,952.64x = 496,691.84 × 216,710.40
  4. Step 4: Simplify right side
    359,952.64x = 107,638,287,323.14
  5. Step 5: Solve for x
    x = 107,638,287,323.14/359,952.64
  6. Step 6: Final answer
    x = 299,034.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.