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Finding the Fourth Proportional to 465,547.50, 642,456.23 and 264,343.50

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Solution

The fourth proportional to 465,547.50, 642,456.23 and 264,343.50 is: 364,794.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,547.50 : 642,456.23 = 264,343.50 : x
  2. Step 2: Convert to fraction form
    465,547.50/642,456.23 = 264,343.50/x
  3. Step 3: Cross multiply
    465,547.50x = 642,456.23 × 264,343.50
  4. Step 4: Simplify right side
    465,547.50x = 169,829,127,113.29
  5. Step 5: Solve for x
    x = 169,829,127,113.29/465,547.50
  6. Step 6: Final answer
    x = 364,794.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.