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Finding the Fourth Proportional to 614,719.40, 922,079.10 and 413,952.80

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Solution

The fourth proportional to 614,719.40, 922,079.10 and 413,952.80 is: 620,929.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,719.40 : 922,079.10 = 413,952.80 : x
  2. Step 2: Convert to fraction form
    614,719.40/922,079.10 = 413,952.80/x
  3. Step 3: Cross multiply
    614,719.40x = 922,079.10 × 413,952.80
  4. Step 4: Simplify right side
    614,719.40x = 381,697,225,266.48
  5. Step 5: Solve for x
    x = 381,697,225,266.48/614,719.40
  6. Step 6: Final answer
    x = 620,929.20

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1.5x scale

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.