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Finding the Fourth Proportional to 589,047.20, 883,570.80 and 497,808.80

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Solution

The fourth proportional to 589,047.20, 883,570.80 and 497,808.80 is: 746,713.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,047.20 : 883,570.80 = 497,808.80 : x
  2. Step 2: Convert to fraction form
    589,047.20/883,570.80 = 497,808.80/x
  3. Step 3: Cross multiply
    589,047.20x = 883,570.80 × 497,808.80
  4. Step 4: Simplify right side
    589,047.20x = 439,849,319,663.04
  5. Step 5: Solve for x
    x = 439,849,319,663.04/589,047.20
  6. Step 6: Final answer
    x = 746,713.20

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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.