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Finding the Fourth Proportional to 460,179.42, 634,824.72 and 296,792.70

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Solution

The fourth proportional to 460,179.42, 634,824.72 and 296,792.70 is: 409,430.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,179.42 : 634,824.72 = 296,792.70 : x
  2. Step 2: Convert to fraction form
    460,179.42/634,824.72 = 296,792.70/x
  3. Step 3: Cross multiply
    460,179.42x = 634,824.72 × 296,792.70
  4. Step 4: Simplify right side
    460,179.42x = 188,411,342,675.54
  5. Step 5: Solve for x
    x = 188,411,342,675.54/460,179.42
  6. Step 6: Final answer
    x = 409,430.18

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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.