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Finding the Fourth Proportional to 564,299.78, 846,446.76 and 199,831.82

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Solution

The fourth proportional to 564,299.78, 846,446.76 and 199,831.82 is: 299,746.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,299.78 : 846,446.76 = 199,831.82 : x
  2. Step 2: Convert to fraction form
    564,299.78/846,446.76 = 199,831.82/x
  3. Step 3: Cross multiply
    564,299.78x = 846,446.76 × 199,831.82
  4. Step 4: Simplify right side
    564,299.78x = 169,146,996,583.90
  5. Step 5: Solve for x
    x = 169,146,996,583.90/564,299.78
  6. Step 6: Final answer
    x = 299,746.70

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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.