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Finding the Fourth Proportional to 413,211.80, 618,651.30 and 401,547.80

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Solution

The fourth proportional to 413,211.80, 618,651.30 and 401,547.80 is: 601,188.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,211.80 : 618,651.30 = 401,547.80 : x
  2. Step 2: Convert to fraction form
    413,211.80/618,651.30 = 401,547.80/x
  3. Step 3: Cross multiply
    413,211.80x = 618,651.30 × 401,547.80
  4. Step 4: Simplify right side
    413,211.80x = 248,418,068,482.14
  5. Step 5: Solve for x
    x = 248,418,068,482.14/413,211.80
  6. Step 6: Final answer
    x = 601,188.22

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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.