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Finding the Fourth Proportional to 705,588.38, 974,115.64 and 464,570.94

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Solution

The fourth proportional to 705,588.38, 974,115.64 and 464,570.94 is: 641,373.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,588.38 : 974,115.64 = 464,570.94 : x
  2. Step 2: Convert to fraction form
    705,588.38/974,115.64 = 464,570.94/x
  3. Step 3: Cross multiply
    705,588.38x = 974,115.64 × 464,570.94
  4. Step 4: Simplify right side
    705,588.38x = 452,545,818,543.50
  5. Step 5: Solve for x
    x = 452,545,818,543.50/705,588.38
  6. Step 6: Final answer
    x = 641,373.68

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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.