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Finding the Fourth Proportional to 474,386.34, 654,866.90 and 302,534.90

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Solution

The fourth proportional to 474,386.34, 654,866.90 and 302,534.90 is: 417,634.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,386.34 : 654,866.90 = 302,534.90 : x
  2. Step 2: Convert to fraction form
    474,386.34/654,866.90 = 302,534.90/x
  3. Step 3: Cross multiply
    474,386.34x = 654,866.90 × 302,534.90
  4. Step 4: Simplify right side
    474,386.34x = 198,120,092,104.81
  5. Step 5: Solve for x
    x = 198,120,092,104.81/474,386.34
  6. Step 6: Final answer
    x = 417,634.48

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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.