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Finding the Fourth Proportional to 564,655.20, 779,225.50 and 310,022.80

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Solution

The fourth proportional to 564,655.20, 779,225.50 and 310,022.80 is: 427,832.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,655.20 : 779,225.50 = 310,022.80 : x
  2. Step 2: Convert to fraction form
    564,655.20/779,225.50 = 310,022.80/x
  3. Step 3: Cross multiply
    564,655.20x = 779,225.50 × 310,022.80
  4. Step 4: Simplify right side
    564,655.20x = 241,577,671,341.40
  5. Step 5: Solve for x
    x = 241,577,671,341.40/564,655.20
  6. Step 6: Final answer
    x = 427,832.19

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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.