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Finding the Fourth Proportional to 705,943.83, 974,209.95 and 383,653.92

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Solution

The fourth proportional to 705,943.83, 974,209.95 and 383,653.92 is: 529,446.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,943.83 : 974,209.95 = 383,653.92 : x
  2. Step 2: Convert to fraction form
    705,943.83/974,209.95 = 383,653.92/x
  3. Step 3: Cross multiply
    705,943.83x = 974,209.95 × 383,653.92
  4. Step 4: Simplify right side
    705,943.83x = 373,759,466,220.50
  5. Step 5: Solve for x
    x = 373,759,466,220.50/705,943.83
  6. Step 6: Final answer
    x = 529,446.47

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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.