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Finding the Fourth Proportional to 506,721.30, 760,038.21 and 151,814.94

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Solution

The fourth proportional to 506,721.30, 760,038.21 and 151,814.94 is: 227,709.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,721.30 : 760,038.21 = 151,814.94 : x
  2. Step 2: Convert to fraction form
    506,721.30/760,038.21 = 151,814.94/x
  3. Step 3: Cross multiply
    506,721.30x = 760,038.21 × 151,814.94
  4. Step 4: Simplify right side
    506,721.30x = 115,385,155,248.86
  5. Step 5: Solve for x
    x = 115,385,155,248.86/506,721.30
  6. Step 6: Final answer
    x = 227,709.31

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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.