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Finding the Fourth Proportional to 493,802.20, 740,703.30 and 294,347.80

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Solution

The fourth proportional to 493,802.20, 740,703.30 and 294,347.80 is: 441,521.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,802.20 : 740,703.30 = 294,347.80 : x
  2. Step 2: Convert to fraction form
    493,802.20/740,703.30 = 294,347.80/x
  3. Step 3: Cross multiply
    493,802.20x = 740,703.30 × 294,347.80
  4. Step 4: Simplify right side
    493,802.20x = 218,024,386,807.74
  5. Step 5: Solve for x
    x = 218,024,386,807.74/493,802.20
  6. Step 6: Final answer
    x = 441,521.70

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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.