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Finding the Fourth Proportional to 390,082.60, 585,123.90 and 319,223.80

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Solution

The fourth proportional to 390,082.60, 585,123.90 and 319,223.80 is: 478,835.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,082.60 : 585,123.90 = 319,223.80 : x
  2. Step 2: Convert to fraction form
    390,082.60/585,123.90 = 319,223.80/x
  3. Step 3: Cross multiply
    390,082.60x = 585,123.90 × 319,223.80
  4. Step 4: Simplify right side
    390,082.60x = 186,785,474,828.82
  5. Step 5: Solve for x
    x = 186,785,474,828.82/390,082.60
  6. Step 6: Final answer
    x = 478,835.70

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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.