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Finding the Fourth Proportional to 614,322.48, 921,421.41 and 164,984.94

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Solution

The fourth proportional to 614,322.48, 921,421.41 and 164,984.94 is: 247,460.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,322.48 : 921,421.41 = 164,984.94 : x
  2. Step 2: Convert to fraction form
    614,322.48/921,421.41 = 164,984.94/x
  3. Step 3: Cross multiply
    614,322.48x = 921,421.41 × 164,984.94
  4. Step 4: Simplify right side
    614,322.48x = 152,020,656,043.57
  5. Step 5: Solve for x
    x = 152,020,656,043.57/614,322.48
  6. Step 6: Final answer
    x = 247,460.68

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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.