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Finding the Fourth Proportional to 714,547.44, 986,111.28 and 392,253.84

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Solution

The fourth proportional to 714,547.44, 986,111.28 and 392,253.84 is: 541,329.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,547.44 : 986,111.28 = 392,253.84 : x
  2. Step 2: Convert to fraction form
    714,547.44/986,111.28 = 392,253.84/x
  3. Step 3: Cross multiply
    714,547.44x = 986,111.28 × 392,253.84
  4. Step 4: Simplify right side
    714,547.44x = 386,805,936,247.32
  5. Step 5: Solve for x
    x = 386,805,936,247.32/714,547.44
  6. Step 6: Final answer
    x = 541,329.96

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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.