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Finding the Fourth Proportional to 497,014.60, 745,521.90 and 319,721.80

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Solution

The fourth proportional to 497,014.60, 745,521.90 and 319,721.80 is: 479,582.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,014.60 : 745,521.90 = 319,721.80 : x
  2. Step 2: Convert to fraction form
    497,014.60/745,521.90 = 319,721.80/x
  3. Step 3: Cross multiply
    497,014.60x = 745,521.90 × 319,721.80
  4. Step 4: Simplify right side
    497,014.60x = 238,359,603,807.42
  5. Step 5: Solve for x
    x = 238,359,603,807.42/497,014.60
  6. Step 6: Final answer
    x = 479,582.70

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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.