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Finding the Fourth Proportional to 563,641.54, 776,941.77 and 427,129.00

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Solution

The fourth proportional to 563,641.54, 776,941.77 and 427,129.00 is: 588,768.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,641.54 : 776,941.77 = 427,129.00 : x
  2. Step 2: Convert to fraction form
    563,641.54/776,941.77 = 427,129.00/x
  3. Step 3: Cross multiply
    563,641.54x = 776,941.77 × 427,129.00
  4. Step 4: Simplify right side
    563,641.54x = 331,854,360,937.71
  5. Step 5: Solve for x
    x = 331,854,360,937.71/563,641.54
  6. Step 6: Final answer
    x = 588,768.46

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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.