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Finding the Fourth Proportional to 1,402,152.56, 1,936,566.65 and 942,469.06

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Solution

The fourth proportional to 1,402,152.56, 1,936,566.65 and 942,469.06 is: 1,301,680.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402,152.56 : 1,936,566.65 = 942,469.06 : x
  2. Step 2: Convert to fraction form
    1,402,152.56/1,936,566.65 = 942,469.06/x
  3. Step 3: Cross multiply
    1,402,152.56x = 1,936,566.65 × 942,469.06
  4. Step 4: Simplify right side
    1,402,152.56x = 1,825,154,146,145.68
  5. Step 5: Solve for x
    x = 1,825,154,146,145.68/1,402,152.56
  6. Step 6: Final answer
    x = 1,301,680.14

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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.