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Finding the Fourth Proportional to 517,806.42, 714,428.46 and 333,967.20

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Solution

The fourth proportional to 517,806.42, 714,428.46 and 333,967.20 is: 460,781.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,806.42 : 714,428.46 = 333,967.20 : x
  2. Step 2: Convert to fraction form
    517,806.42/714,428.46 = 333,967.20/x
  3. Step 3: Cross multiply
    517,806.42x = 714,428.46 × 333,967.20
  4. Step 4: Simplify right side
    517,806.42x = 238,595,672,386.51
  5. Step 5: Solve for x
    x = 238,595,672,386.51/517,806.42
  6. Step 6: Final answer
    x = 460,781.60

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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.