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Finding the Fourth Proportional to 705,543.48, 974,053.86 and 464,526.66

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Solution

The fourth proportional to 705,543.48, 974,053.86 and 464,526.66 is: 641,312.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,543.48 : 974,053.86 = 464,526.66 : x
  2. Step 2: Convert to fraction form
    705,543.48/974,053.86 = 464,526.66/x
  3. Step 3: Cross multiply
    705,543.48x = 974,053.86 × 464,526.66
  4. Step 4: Simplify right side
    705,543.48x = 452,473,986,245.91
  5. Step 5: Solve for x
    x = 452,473,986,245.91/705,543.48
  6. Step 6: Final answer
    x = 641,312.69

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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.