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Finding the Fourth Proportional to 506,822.57, 760,259.15 and 151,802.76

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Solution

The fourth proportional to 506,822.57, 760,259.15 and 151,802.76 is: 227,711.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,822.57 : 760,259.15 = 151,802.76 : x
  2. Step 2: Convert to fraction form
    506,822.57/760,259.15 = 151,802.76/x
  3. Step 3: Cross multiply
    506,822.57x = 760,259.15 × 151,802.76
  4. Step 4: Simplify right side
    506,822.57x = 115,409,436,526.24
  5. Step 5: Solve for x
    x = 115,409,436,526.24/506,822.57
  6. Step 6: Final answer
    x = 227,711.72

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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.