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Finding the Fourth Proportional to 345,457.98, 476,851.32 and 202,264.02

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Solution

The fourth proportional to 345,457.98, 476,851.32 and 202,264.02 is: 279,194.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,457.98 : 476,851.32 = 202,264.02 : x
  2. Step 2: Convert to fraction form
    345,457.98/476,851.32 = 202,264.02/x
  3. Step 3: Cross multiply
    345,457.98x = 476,851.32 × 202,264.02
  4. Step 4: Simplify right side
    345,457.98x = 96,449,864,925.51
  5. Step 5: Solve for x
    x = 96,449,864,925.51/345,457.98
  6. Step 6: Final answer
    x = 279,194.20

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Why These Related Problems?

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