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Finding the Fourth Proportional to 401,812.40, 602,718.60 and 260,094.80

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Solution

The fourth proportional to 401,812.40, 602,718.60 and 260,094.80 is: 390,142.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,812.40 : 602,718.60 = 260,094.80 : x
  2. Step 2: Convert to fraction form
    401,812.40/602,718.60 = 260,094.80/x
  3. Step 3: Cross multiply
    401,812.40x = 602,718.60 × 260,094.80
  4. Step 4: Simplify right side
    401,812.40x = 156,763,973,723.28
  5. Step 5: Solve for x
    x = 156,763,973,723.28/401,812.40
  6. Step 6: Final answer
    x = 390,142.20

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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.