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Finding the Fourth Proportional to 334,123.14, 460,643.86 and 265,440.48

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Solution

The fourth proportional to 334,123.14, 460,643.86 and 265,440.48 is: 365,953.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,123.14 : 460,643.86 = 265,440.48 : x
  2. Step 2: Convert to fraction form
    334,123.14/460,643.86 = 265,440.48/x
  3. Step 3: Cross multiply
    334,123.14x = 460,643.86 × 265,440.48
  4. Step 4: Simplify right side
    334,123.14x = 122,273,527,307.45
  5. Step 5: Solve for x
    x = 122,273,527,307.45/334,123.14
  6. Step 6: Final answer
    x = 365,953.48

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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.