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Finding the Fourth Proportional to 421,151.52, 631,547.40 and 243,780.96

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Solution

The fourth proportional to 421,151.52, 631,547.40 and 243,780.96 is: 365,567.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,151.52 : 631,547.40 = 243,780.96 : x
  2. Step 2: Convert to fraction form
    421,151.52/631,547.40 = 243,780.96/x
  3. Step 3: Cross multiply
    421,151.52x = 631,547.40 × 243,780.96
  4. Step 4: Simplify right side
    421,151.52x = 153,959,231,457.50
  5. Step 5: Solve for x
    x = 153,959,231,457.50/421,151.52
  6. Step 6: Final answer
    x = 365,567.32

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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.