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Finding the Fourth Proportional to 432,199.64, 596,513.57 and 257,781.03

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Solution

The fourth proportional to 432,199.64, 596,513.57 and 257,781.03 is: 355,784.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,199.64 : 596,513.57 = 257,781.03 : x
  2. Step 2: Convert to fraction form
    432,199.64/596,513.57 = 257,781.03/x
  3. Step 3: Cross multiply
    432,199.64x = 596,513.57 × 257,781.03
  4. Step 4: Simplify right side
    432,199.64x = 153,769,881,194.67
  5. Step 5: Solve for x
    x = 153,769,881,194.67/432,199.64
  6. Step 6: Final answer
    x = 355,784.38

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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.