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Finding the Fourth Proportional to 478,146.61, 716,740.69 and 222,159.02

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Solution

The fourth proportional to 478,146.61, 716,740.69 and 222,159.02 is: 333,015.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,146.61 : 716,740.69 = 222,159.02 : x
  2. Step 2: Convert to fraction form
    478,146.61/716,740.69 = 222,159.02/x
  3. Step 3: Cross multiply
    478,146.61x = 716,740.69 × 222,159.02
  4. Step 4: Simplify right side
    478,146.61x = 159,230,409,284.52
  5. Step 5: Solve for x
    x = 159,230,409,284.52/478,146.61
  6. Step 6: Final answer
    x = 333,015.87

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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.