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Finding the Fourth Proportional to 312,161.30, 430,802.12 and 176,218.28

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Solution

The fourth proportional to 312,161.30, 430,802.12 and 176,218.28 is: 243,192.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,161.30 : 430,802.12 = 176,218.28 : x
  2. Step 2: Convert to fraction form
    312,161.30/430,802.12 = 176,218.28/x
  3. Step 3: Cross multiply
    312,161.30x = 430,802.12 × 176,218.28
  4. Step 4: Simplify right side
    312,161.30x = 75,915,208,606.75
  5. Step 5: Solve for x
    x = 75,915,208,606.75/312,161.30
  6. Step 6: Final answer
    x = 243,192.25

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1.5x scale

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.