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Finding the Fourth Proportional to 706,197.14, 974,547.96 and 400,331.20

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Solution

The fourth proportional to 706,197.14, 974,547.96 and 400,331.20 is: 552,454.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,197.14 : 974,547.96 = 400,331.20 : x
  2. Step 2: Convert to fraction form
    706,197.14/974,547.96 = 400,331.20/x
  3. Step 3: Cross multiply
    706,197.14x = 974,547.96 × 400,331.20
  4. Step 4: Simplify right side
    706,197.14x = 390,141,954,284.35
  5. Step 5: Solve for x
    x = 390,141,954,284.35/706,197.14
  6. Step 6: Final answer
    x = 552,454.74

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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.