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Finding the Fourth Proportional to 706,065.35, 974,377.10 and 383,775.24

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Solution

The fourth proportional to 706,065.35, 974,377.10 and 383,775.24 is: 529,613.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,065.35 : 974,377.10 = 383,775.24 : x
  2. Step 2: Convert to fraction form
    706,065.35/974,377.10 = 383,775.24/x
  3. Step 3: Cross multiply
    706,065.35x = 974,377.10 × 383,775.24
  4. Step 4: Simplify right side
    706,065.35x = 373,941,803,484.13
  5. Step 5: Solve for x
    x = 373,941,803,484.13/706,065.35
  6. Step 6: Final answer
    x = 529,613.59

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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.