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Finding the Fourth Proportional to 584,567.30, 876,876.42 and 185,237.48

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Solution

The fourth proportional to 584,567.30, 876,876.42 and 185,237.48 is: 277,864.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,567.30 : 876,876.42 = 185,237.48 : x
  2. Step 2: Convert to fraction form
    584,567.30/876,876.42 = 185,237.48/x
  3. Step 3: Cross multiply
    584,567.30x = 876,876.42 × 185,237.48
  4. Step 4: Simplify right side
    584,567.30x = 162,430,378,312.22
  5. Step 5: Solve for x
    x = 162,430,378,312.22/584,567.30
  6. Step 6: Final answer
    x = 277,864.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.