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Finding the Fourth Proportional to 610,214.68, 842,431.43 and 416,913.04

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Solution

The fourth proportional to 610,214.68, 842,431.43 and 416,913.04 is: 575,568.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,214.68 : 842,431.43 = 416,913.04 : x
  2. Step 2: Convert to fraction form
    610,214.68/842,431.43 = 416,913.04/x
  3. Step 3: Cross multiply
    610,214.68x = 842,431.43 × 416,913.04
  4. Step 4: Simplify right side
    610,214.68x = 351,220,642,176.13
  5. Step 5: Solve for x
    x = 351,220,642,176.13/610,214.68
  6. Step 6: Final answer
    x = 575,568.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.