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Finding the Fourth Proportional to 432,326.79, 592,284.94 and 416,159.74

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Solution

The fourth proportional to 432,326.79, 592,284.94 and 416,159.74 is: 570,136.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,326.79 : 592,284.94 = 416,159.74 : x
  2. Step 2: Convert to fraction form
    432,326.79/592,284.94 = 416,159.74/x
  3. Step 3: Cross multiply
    432,326.79x = 592,284.94 × 416,159.74
  4. Step 4: Simplify right side
    432,326.79x = 246,485,148,677.17
  5. Step 5: Solve for x
    x = 246,485,148,677.17/432,326.79
  6. Step 6: Final answer
    x = 570,136.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.