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Finding the Fourth Proportional to 506,589.48, 760,182.60 and 186,966.36

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Solution

The fourth proportional to 506,589.48, 760,182.60 and 186,966.36 is: 280,559.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,589.48 : 760,182.60 = 186,966.36 : x
  2. Step 2: Convert to fraction form
    506,589.48/760,182.60 = 186,966.36/x
  3. Step 3: Cross multiply
    506,589.48x = 760,182.60 × 186,966.36
  4. Step 4: Simplify right side
    506,589.48x = 142,128,573,657.34
  5. Step 5: Solve for x
    x = 142,128,573,657.34/506,589.48
  6. Step 6: Final answer
    x = 280,559.66

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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.