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Finding the Fourth Proportional to 706,041.24, 974,342.82 and 383,751.24

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Solution

The fourth proportional to 706,041.24, 974,342.82 and 383,751.24 is: 529,579.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,041.24 : 974,342.82 = 383,751.24 : x
  2. Step 2: Convert to fraction form
    706,041.24/974,342.82 = 383,751.24/x
  3. Step 3: Cross multiply
    706,041.24x = 974,342.82 × 383,751.24
  4. Step 4: Simplify right side
    706,041.24x = 373,905,265,360.10
  5. Step 5: Solve for x
    x = 373,905,265,360.10/706,041.24
  6. Step 6: Final answer
    x = 529,579.92

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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.