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Finding the Fourth Proportional to 424,712, 586,102.64 and 233,725.39

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Solution

The fourth proportional to 424,712, 586,102.64 and 233,725.39 is: 322,541.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,712 : 586,102.64 = 233,725.39 : x
  2. Step 2: Convert to fraction form
    424,712/586,102.64 = 233,725.39/x
  3. Step 3: Cross multiply
    424,712x = 586,102.64 × 233,725.39
  4. Step 4: Simplify right side
    424,712x = 136,987,068,114.03
  5. Step 5: Solve for x
    x = 136,987,068,114.03/424,712
  6. Step 6: Final answer
    x = 322,541.08

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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.