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Finding the Fourth Proportional to 432,205.86, 595,730.22 and 288,913.62

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Solution

The fourth proportional to 432,205.86, 595,730.22 and 288,913.62 is: 398,223.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,205.86 : 595,730.22 = 288,913.62 : x
  2. Step 2: Convert to fraction form
    432,205.86/595,730.22 = 288,913.62/x
  3. Step 3: Cross multiply
    432,205.86x = 595,730.22 × 288,913.62
  4. Step 4: Simplify right side
    432,205.86x = 172,114,574,403.60
  5. Step 5: Solve for x
    x = 172,114,574,403.60/432,205.86
  6. Step 6: Final answer
    x = 398,223.60

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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.