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Finding the Fourth Proportional to 852,454.71, 1,176,381.71 and 470,481.48

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Solution

The fourth proportional to 852,454.71, 1,176,381.71 and 470,481.48 is: 649,261.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,454.71 : 1,176,381.71 = 470,481.48 : x
  2. Step 2: Convert to fraction form
    852,454.71/1,176,381.71 = 470,481.48/x
  3. Step 3: Cross multiply
    852,454.71x = 1,176,381.71 × 470,481.48
  4. Step 4: Simplify right side
    852,454.71x = 553,465,805,613.32
  5. Step 5: Solve for x
    x = 553,465,805,613.32/852,454.71
  6. Step 6: Final answer
    x = 649,261.24

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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.