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Finding the Fourth Proportional to 401,461.92, 602,002.20 and 233,034.20

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Solution

The fourth proportional to 401,461.92, 602,002.20 and 233,034.20 is: 349,440.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,461.92 : 602,002.20 = 233,034.20 : x
  2. Step 2: Convert to fraction form
    401,461.92/602,002.20 = 233,034.20/x
  3. Step 3: Cross multiply
    401,461.92x = 602,002.20 × 233,034.20
  4. Step 4: Simplify right side
    401,461.92x = 140,287,101,075.24
  5. Step 5: Solve for x
    x = 140,287,101,075.24/401,461.92
  6. Step 6: Final answer
    x = 349,440.62

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1.5x scale

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.