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Finding the Fourth Proportional to 379,569.07, 523,466 and 314,935.93

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Solution

The fourth proportional to 379,569.07, 523,466 and 314,935.93 is: 434,330.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,569.07 : 523,466 = 314,935.93 : x
  2. Step 2: Convert to fraction form
    379,569.07/523,466 = 314,935.93/x
  3. Step 3: Cross multiply
    379,569.07x = 523,466 × 314,935.93
  4. Step 4: Simplify right side
    379,569.07x = 164,858,248,916.05
  5. Step 5: Solve for x
    x = 164,858,248,916.05/379,569.07
  6. Step 6: Final answer
    x = 434,330.04

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1.5x scale

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.