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Finding the Fourth Proportional to 290,098.04, 435,048.51 and 100,514.16

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Solution

The fourth proportional to 290,098.04, 435,048.51 and 100,514.16 is: 150,737.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,098.04 : 435,048.51 = 100,514.16 : x
  2. Step 2: Convert to fraction form
    290,098.04/435,048.51 = 100,514.16/x
  3. Step 3: Cross multiply
    290,098.04x = 435,048.51 × 100,514.16
  4. Step 4: Simplify right side
    290,098.04x = 43,728,535,541.90
  5. Step 5: Solve for x
    x = 43,728,535,541.90/290,098.04
  6. Step 6: Final answer
    x = 150,737.10

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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.