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Finding the Fourth Proportional to 401,446.36, 602,169.80 and 101,949.40

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Solution

The fourth proportional to 401,446.36, 602,169.80 and 101,949.40 is: 152,924.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,446.36 : 602,169.80 = 101,949.40 : x
  2. Step 2: Convert to fraction form
    401,446.36/602,169.80 = 101,949.40/x
  3. Step 3: Cross multiply
    401,446.36x = 602,169.80 × 101,949.40
  4. Step 4: Simplify right side
    401,446.36x = 61,390,849,808.12
  5. Step 5: Solve for x
    x = 61,390,849,808.12/401,446.36
  6. Step 6: Final answer
    x = 152,924.17

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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.