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Finding the Fourth Proportional to 705,876.12, 974,106 and 383,580.36

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Solution

The fourth proportional to 705,876.12, 974,106 and 383,580.36 is: 529,339.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,876.12 : 974,106 = 383,580.36 : x
  2. Step 2: Convert to fraction form
    705,876.12/974,106 = 383,580.36/x
  3. Step 3: Cross multiply
    705,876.12x = 974,106 × 383,580.36
  4. Step 4: Simplify right side
    705,876.12x = 373,647,930,158.16
  5. Step 5: Solve for x
    x = 373,647,930,158.16/705,876.12
  6. Step 6: Final answer
    x = 529,339.24

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1.5x scale

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.