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Finding the Fourth Proportional to 413,312.68, 570,224.76 and 270,155.32

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Solution

The fourth proportional to 413,312.68, 570,224.76 and 270,155.32 is: 372,718.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,312.68 : 570,224.76 = 270,155.32 : x
  2. Step 2: Convert to fraction form
    413,312.68/570,224.76 = 270,155.32/x
  3. Step 3: Cross multiply
    413,312.68x = 570,224.76 × 270,155.32
  4. Step 4: Simplify right side
    413,312.68x = 154,049,252,509.72
  5. Step 5: Solve for x
    x = 154,049,252,509.72/413,312.68
  6. Step 6: Final answer
    x = 372,718.43

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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.