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Finding the Fourth Proportional to 413,211.30, 618,650.55 and 401,547.30

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Solution

The fourth proportional to 413,211.30, 618,650.55 and 401,547.30 is: 601,187.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,211.30 : 618,650.55 = 401,547.30 : x
  2. Step 2: Convert to fraction form
    413,211.30/618,650.55 = 401,547.30/x
  3. Step 3: Cross multiply
    413,211.30x = 618,650.55 × 401,547.30
  4. Step 4: Simplify right side
    413,211.30x = 248,417,457,996.02
  5. Step 5: Solve for x
    x = 248,417,457,996.02/413,211.30
  6. Step 6: Final answer
    x = 601,187.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.