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Finding the Fourth Proportional to 562,289.60, 843,628.80 and 542,849.60

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Solution

The fourth proportional to 562,289.60, 843,628.80 and 542,849.60 is: 814,462.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,289.60 : 843,628.80 = 542,849.60 : x
  2. Step 2: Convert to fraction form
    562,289.60/843,628.80 = 542,849.60/x
  3. Step 3: Cross multiply
    562,289.60x = 843,628.80 × 542,849.60
  4. Step 4: Simplify right side
    562,289.60x = 457,963,556,628.48
  5. Step 5: Solve for x
    x = 457,963,556,628.48/562,289.60
  6. Step 6: Final answer
    x = 814,462.08

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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.