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Finding the Fourth Proportional to 705,818.10, 974,030.22 and 383,532.06

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Solution

The fourth proportional to 705,818.10, 974,030.22 and 383,532.06 is: 529,274.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,818.10 : 974,030.22 = 383,532.06 : x
  2. Step 2: Convert to fraction form
    705,818.10/974,030.22 = 383,532.06/x
  3. Step 3: Cross multiply
    705,818.10x = 974,030.22 × 383,532.06
  4. Step 4: Simplify right side
    705,818.10x = 373,571,816,778.85
  5. Step 5: Solve for x
    x = 373,571,816,778.85/705,818.10
  6. Step 6: Final answer
    x = 529,274.92

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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.