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Finding the Fourth Proportional to 578,116.12, 797,270.14 and 496,416.56

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Solution

The fourth proportional to 578,116.12, 797,270.14 and 496,416.56 is: 684,599.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,116.12 : 797,270.14 = 496,416.56 : x
  2. Step 2: Convert to fraction form
    578,116.12/797,270.14 = 496,416.56/x
  3. Step 3: Cross multiply
    578,116.12x = 797,270.14 × 496,416.56
  4. Step 4: Simplify right side
    578,116.12x = 395,778,100,289.52
  5. Step 5: Solve for x
    x = 395,778,100,289.52/578,116.12
  6. Step 6: Final answer
    x = 684,599.66

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Double scale
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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.