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Finding the Fourth Proportional to 589,877.12, 880,509.32 and 506,175.16

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Solution

The fourth proportional to 589,877.12, 880,509.32 and 506,175.16 is: 755,567.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,877.12 : 880,509.32 = 506,175.16 : x
  2. Step 2: Convert to fraction form
    589,877.12/880,509.32 = 506,175.16/x
  3. Step 3: Cross multiply
    589,877.12x = 880,509.32 × 506,175.16
  4. Step 4: Simplify right side
    589,877.12x = 445,691,945,932.49
  5. Step 5: Solve for x
    x = 445,691,945,932.49/589,877.12
  6. Step 6: Final answer
    x = 755,567.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.