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Finding the Fourth Proportional to 564,121.48, 778,373.18 and 334,578.04

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Solution

The fourth proportional to 564,121.48, 778,373.18 and 334,578.04 is: 461,649.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,121.48 : 778,373.18 = 334,578.04 : x
  2. Step 2: Convert to fraction form
    564,121.48/778,373.18 = 334,578.04/x
  3. Step 3: Cross multiply
    564,121.48x = 778,373.18 × 334,578.04
  4. Step 4: Simplify right side
    564,121.48x = 260,426,572,952.97
  5. Step 5: Solve for x
    x = 260,426,572,952.97/564,121.48
  6. Step 6: Final answer
    x = 461,649.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.