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Finding the Fourth Proportional to 296,952, 409,793.76 and 162,816

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Solution

The fourth proportional to 296,952, 409,793.76 and 162,816 is: 224,686.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,952 : 409,793.76 = 162,816 : x
  2. Step 2: Convert to fraction form
    296,952/409,793.76 = 162,816/x
  3. Step 3: Cross multiply
    296,952x = 409,793.76 × 162,816
  4. Step 4: Simplify right side
    296,952x = 66,720,980,828.16
  5. Step 5: Solve for x
    x = 66,720,980,828.16/296,952
  6. Step 6: Final answer
    x = 224,686.08

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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.