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Finding the Fourth Proportional to 401,045.10, 601,567.65 and 134,717.10

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Solution

The fourth proportional to 401,045.10, 601,567.65 and 134,717.10 is: 202,075.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,045.10 : 601,567.65 = 134,717.10 : x
  2. Step 2: Convert to fraction form
    401,045.10/601,567.65 = 134,717.10/x
  3. Step 3: Cross multiply
    401,045.10x = 601,567.65 × 134,717.10
  4. Step 4: Simplify right side
    401,045.10x = 81,041,449,261.82
  5. Step 5: Solve for x
    x = 81,041,449,261.82/401,045.10
  6. Step 6: Final answer
    x = 202,075.65

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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.