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Finding the Fourth Proportional to 401,830.80, 602,746.20 and 165,094.80

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Solution

The fourth proportional to 401,830.80, 602,746.20 and 165,094.80 is: 247,642.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,830.80 : 602,746.20 = 165,094.80 : x
  2. Step 2: Convert to fraction form
    401,830.80/602,746.20 = 165,094.80/x
  3. Step 3: Cross multiply
    401,830.80x = 602,746.20 × 165,094.80
  4. Step 4: Simplify right side
    401,830.80x = 99,510,263,339.76
  5. Step 5: Solve for x
    x = 99,510,263,339.76/401,830.80
  6. Step 6: Final answer
    x = 247,642.20

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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.