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Finding the Fourth Proportional to 359,966.16, 496,596.42 and 216,644.76

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Solution

The fourth proportional to 359,966.16, 496,596.42 and 216,644.76 is: 298,875.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,966.16 : 496,596.42 = 216,644.76 : x
  2. Step 2: Convert to fraction form
    359,966.16/496,596.42 = 216,644.76/x
  3. Step 3: Cross multiply
    359,966.16x = 496,596.42 × 216,644.76
  4. Step 4: Simplify right side
    359,966.16x = 107,585,012,227.76
  5. Step 5: Solve for x
    x = 107,585,012,227.76/359,966.16
  6. Step 6: Final answer
    x = 298,875.35

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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.