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Finding the Fourth Proportional to 432,203.63, 596,519.08 and 257,785.01

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Solution

The fourth proportional to 432,203.63, 596,519.08 and 257,785.01 is: 355,789.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,203.63 : 596,519.08 = 257,785.01 : x
  2. Step 2: Convert to fraction form
    432,203.63/596,519.08 = 257,785.01/x
  3. Step 3: Cross multiply
    432,203.63x = 596,519.08 × 257,785.01
  4. Step 4: Simplify right side
    432,203.63x = 153,773,680,418.34
  5. Step 5: Solve for x
    x = 153,773,680,418.34/432,203.63
  6. Step 6: Final answer
    x = 355,789.89

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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.