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Finding the Fourth Proportional to 706,256.34, 974,590.08 and 396,141.86

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Solution

The fourth proportional to 706,256.34, 974,590.08 and 396,141.86 is: 546,651.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,256.34 : 974,590.08 = 396,141.86 : x
  2. Step 2: Convert to fraction form
    706,256.34/974,590.08 = 396,141.86/x
  3. Step 3: Cross multiply
    706,256.34x = 974,590.08 × 396,141.86
  4. Step 4: Simplify right side
    706,256.34x = 386,075,922,155.80
  5. Step 5: Solve for x
    x = 386,075,922,155.80/706,256.34
  6. Step 6: Final answer
    x = 546,651.27

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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.