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Finding the Fourth Proportional to 312,013.08, 468,058.54 and 101,594.52

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Solution

The fourth proportional to 312,013.08, 468,058.54 and 101,594.52 is: 152,404.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,013.08 : 468,058.54 = 101,594.52 : x
  2. Step 2: Convert to fraction form
    312,013.08/468,058.54 = 101,594.52/x
  3. Step 3: Cross multiply
    312,013.08x = 468,058.54 × 101,594.52
  4. Step 4: Simplify right side
    312,013.08x = 47,552,182,703.20
  5. Step 5: Solve for x
    x = 47,552,182,703.20/312,013.08
  6. Step 6: Final answer
    x = 152,404.45

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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.