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Finding the Fourth Proportional to 334,509, 461,614.77 and 181,547.48

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Solution

The fourth proportional to 334,509, 461,614.77 and 181,547.48 is: 250,531.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,509 : 461,614.77 = 181,547.48 : x
  2. Step 2: Convert to fraction form
    334,509/461,614.77 = 181,547.48/x
  3. Step 3: Cross multiply
    334,509x = 461,614.77 × 181,547.48
  4. Step 4: Simplify right side
    334,509x = 83,804,995,916.21
  5. Step 5: Solve for x
    x = 83,804,995,916.21/334,509
  6. Step 6: Final answer
    x = 250,531.36

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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.