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Finding the Fourth Proportional to 432,348.16, 596,469 and 288,880.96

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Solution

The fourth proportional to 432,348.16, 596,469 and 288,880.96 is: 398,541.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,348.16 : 596,469 = 288,880.96 : x
  2. Step 2: Convert to fraction form
    432,348.16/596,469 = 288,880.96/x
  3. Step 3: Cross multiply
    432,348.16x = 596,469 × 288,880.96
  4. Step 4: Simplify right side
    432,348.16x = 172,308,537,330.24
  5. Step 5: Solve for x
    x = 172,308,537,330.24/432,348.16
  6. Step 6: Final answer
    x = 398,541.16

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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.