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Finding the Fourth Proportional to 564,649.52, 779,217.64 and 310,017.04

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Solution

The fourth proportional to 564,649.52, 779,217.64 and 310,017.04 is: 427,824.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,649.52 : 779,217.64 = 310,017.04 : x
  2. Step 2: Convert to fraction form
    564,649.52/779,217.64 = 310,017.04/x
  3. Step 3: Cross multiply
    564,649.52x = 779,217.64 × 310,017.04
  4. Step 4: Simplify right side
    564,649.52x = 241,570,746,268.59
  5. Step 5: Solve for x
    x = 241,570,746,268.59/564,649.52
  6. Step 6: Final answer
    x = 427,824.23

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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.