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Finding the Fourth Proportional to 714,778, 986,386.34 and 392,485.08

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Solution

The fourth proportional to 714,778, 986,386.34 and 392,485.08 is: 541,625.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,778 : 986,386.34 = 392,485.08 : x
  2. Step 2: Convert to fraction form
    714,778/986,386.34 = 392,485.08/x
  3. Step 3: Cross multiply
    714,778x = 986,386.34 × 392,485.08
  4. Step 4: Simplify right side
    714,778x = 387,141,921,565.81
  5. Step 5: Solve for x
    x = 387,141,921,565.81/714,778
  6. Step 6: Final answer
    x = 541,625.40

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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.