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Finding the Fourth Proportional to 562,929.80, 845,009.10 and 314,097.80

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Solution

The fourth proportional to 562,929.80, 845,009.10 and 314,097.80 is: 471,489.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,929.80 : 845,009.10 = 314,097.80 : x
  2. Step 2: Convert to fraction form
    562,929.80/845,009.10 = 314,097.80/x
  3. Step 3: Cross multiply
    562,929.80x = 845,009.10 × 314,097.80
  4. Step 4: Simplify right side
    562,929.80x = 265,415,499,289.98
  5. Step 5: Solve for x
    x = 265,415,499,289.98/562,929.80
  6. Step 6: Final answer
    x = 471,489.52

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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.