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Finding the Fourth Proportional to 589,503.80, 884,255.70 and 471,405.80

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Solution

The fourth proportional to 589,503.80, 884,255.70 and 471,405.80 is: 707,108.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,503.80 : 884,255.70 = 471,405.80 : x
  2. Step 2: Convert to fraction form
    589,503.80/884,255.70 = 471,405.80/x
  3. Step 3: Cross multiply
    589,503.80x = 884,255.70 × 471,405.80
  4. Step 4: Simplify right side
    589,503.80x = 416,843,265,663.06
  5. Step 5: Solve for x
    x = 416,843,265,663.06/589,503.80
  6. Step 6: Final answer
    x = 707,108.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.