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Finding the Fourth Proportional to 292,287.10, 438,430.65 and 114,735.10

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Solution

The fourth proportional to 292,287.10, 438,430.65 and 114,735.10 is: 172,102.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,287.10 : 438,430.65 = 114,735.10 : x
  2. Step 2: Convert to fraction form
    292,287.10/438,430.65 = 114,735.10/x
  3. Step 3: Cross multiply
    292,287.10x = 438,430.65 × 114,735.10
  4. Step 4: Simplify right side
    292,287.10x = 50,303,384,470.82
  5. Step 5: Solve for x
    x = 50,303,384,470.82/292,287.10
  6. Step 6: Final answer
    x = 172,102.65

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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.