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Finding the Fourth Proportional to 406,828.76, 610,243.17 and 157,510.76

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Solution

The fourth proportional to 406,828.76, 610,243.17 and 157,510.76 is: 236,266.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,828.76 : 610,243.17 = 157,510.76 : x
  2. Step 2: Convert to fraction form
    406,828.76/610,243.17 = 157,510.76/x
  3. Step 3: Cross multiply
    406,828.76x = 610,243.17 × 157,510.76
  4. Step 4: Simplify right side
    406,828.76x = 96,119,865,491.51
  5. Step 5: Solve for x
    x = 96,119,865,491.51/406,828.76
  6. Step 6: Final answer
    x = 236,266.15

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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.