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Finding the Fourth Proportional to 401,665.40, 602,498.10 and 121,146.20

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Solution

The fourth proportional to 401,665.40, 602,498.10 and 121,146.20 is: 181,719.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,665.40 : 602,498.10 = 121,146.20 : x
  2. Step 2: Convert to fraction form
    401,665.40/602,498.10 = 121,146.20/x
  3. Step 3: Cross multiply
    401,665.40x = 602,498.10 × 121,146.20
  4. Step 4: Simplify right side
    401,665.40x = 72,990,355,322.22
  5. Step 5: Solve for x
    x = 72,990,355,322.22/401,665.40
  6. Step 6: Final answer
    x = 181,719.30

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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.