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Finding the Fourth Proportional to 510,421.50, 765,663.84 and 155,461.68

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Solution

The fourth proportional to 510,421.50, 765,663.84 and 155,461.68 is: 233,202.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,421.50 : 765,663.84 = 155,461.68 : x
  2. Step 2: Convert to fraction form
    510,421.50/765,663.84 = 155,461.68/x
  3. Step 3: Cross multiply
    510,421.50x = 765,663.84 × 155,461.68
  4. Step 4: Simplify right side
    510,421.50x = 119,031,386,881.65
  5. Step 5: Solve for x
    x = 119,031,386,881.65/510,421.50
  6. Step 6: Final answer
    x = 233,202.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.