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Finding the Fourth Proportional to 562,281.92, 775,960.24 and 307,638.58

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Solution

The fourth proportional to 562,281.92, 775,960.24 and 307,638.58 is: 424,547.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,281.92 : 775,960.24 = 307,638.58 : x
  2. Step 2: Convert to fraction form
    562,281.92/775,960.24 = 307,638.58/x
  3. Step 3: Cross multiply
    562,281.92x = 775,960.24 × 307,638.58
  4. Step 4: Simplify right side
    562,281.92x = 238,715,306,370.06
  5. Step 5: Solve for x
    x = 238,715,306,370.06/562,281.92
  6. Step 6: Final answer
    x = 424,547.36

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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.