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Finding the Fourth Proportional to 705,854.64, 974,077.14 and 383,565.72

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Solution

The fourth proportional to 705,854.64, 974,077.14 and 383,565.72 is: 529,319.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,854.64 : 974,077.14 = 383,565.72 : x
  2. Step 2: Convert to fraction form
    705,854.64/974,077.14 = 383,565.72/x
  3. Step 3: Cross multiply
    705,854.64x = 974,077.14 × 383,565.72
  4. Step 4: Simplify right side
    705,854.64x = 373,622,599,539.64
  5. Step 5: Solve for x
    x = 373,622,599,539.64/705,854.64
  6. Step 6: Final answer
    x = 529,319.46

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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.