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Finding the Fourth Proportional to 307,002.30, 460,503.45 and 85,386.30

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Solution

The fourth proportional to 307,002.30, 460,503.45 and 85,386.30 is: 128,079.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,002.30 : 460,503.45 = 85,386.30 : x
  2. Step 2: Convert to fraction form
    307,002.30/460,503.45 = 85,386.30/x
  3. Step 3: Cross multiply
    307,002.30x = 460,503.45 × 85,386.30
  4. Step 4: Simplify right side
    307,002.30x = 39,320,685,732.74
  5. Step 5: Solve for x
    x = 39,320,685,732.74/307,002.30
  6. Step 6: Final answer
    x = 128,079.45

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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.