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Finding the Fourth Proportional to 466,594.71, 643,915.22 and 265,403.67

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Solution

The fourth proportional to 466,594.71, 643,915.22 and 265,403.67 is: 366,265.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,594.71 : 643,915.22 = 265,403.67 : x
  2. Step 2: Convert to fraction form
    466,594.71/643,915.22 = 265,403.67/x
  3. Step 3: Cross multiply
    466,594.71x = 643,915.22 × 265,403.67
  4. Step 4: Simplify right side
    466,594.71x = 170,897,461,229.84
  5. Step 5: Solve for x
    x = 170,897,461,229.84/466,594.71
  6. Step 6: Final answer
    x = 366,265.32

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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.