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Finding the Fourth Proportional to 508,335.95, 761,971.86 and 171,260.12

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Solution

The fourth proportional to 508,335.95, 761,971.86 and 171,260.12 is: 256,710.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,335.95 : 761,971.86 = 171,260.12 : x
  2. Step 2: Convert to fraction form
    508,335.95/761,971.86 = 171,260.12/x
  3. Step 3: Cross multiply
    508,335.95x = 761,971.86 × 171,260.12
  4. Step 4: Simplify right side
    508,335.95x = 130,495,394,085.15
  5. Step 5: Solve for x
    x = 130,495,394,085.15/508,335.95
  6. Step 6: Final answer
    x = 256,710.93

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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.