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Finding the Fourth Proportional to 922,133, 1,272,582.42 and 519,725

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Solution

The fourth proportional to 922,133, 1,272,582.42 and 519,725 is: 717,242.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,133 : 1,272,582.42 = 519,725 : x
  2. Step 2: Convert to fraction form
    922,133/1,272,582.42 = 519,725/x
  3. Step 3: Cross multiply
    922,133x = 1,272,582.42 × 519,725
  4. Step 4: Simplify right side
    922,133x = 661,392,898,234.50
  5. Step 5: Solve for x
    x = 661,392,898,234.50/922,133
  6. Step 6: Final answer
    x = 717,242.41

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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.