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Finding the Fourth Proportional to 562,705.46, 776,607.45 and 320,932.61

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Solution

The fourth proportional to 562,705.46, 776,607.45 and 320,932.61 is: 442,929.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,705.46 : 776,607.45 = 320,932.61 : x
  2. Step 2: Convert to fraction form
    562,705.46/776,607.45 = 320,932.61/x
  3. Step 3: Cross multiply
    562,705.46x = 776,607.45 × 320,932.61
  4. Step 4: Simplify right side
    562,705.46x = 249,238,655,873.95
  5. Step 5: Solve for x
    x = 249,238,655,873.95/562,705.46
  6. Step 6: Final answer
    x = 442,929.16

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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.