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Finding the Fourth Proportional to 518,045.16, 714,615.60 and 431,267.40

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Solution

The fourth proportional to 518,045.16, 714,615.60 and 431,267.40 is: 594,910.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,045.16 : 714,615.60 = 431,267.40 : x
  2. Step 2: Convert to fraction form
    518,045.16/714,615.60 = 431,267.40/x
  3. Step 3: Cross multiply
    518,045.16x = 714,615.60 × 431,267.40
  4. Step 4: Simplify right side
    518,045.16x = 308,190,411,811.44
  5. Step 5: Solve for x
    x = 308,190,411,811.44/518,045.16
  6. Step 6: Final answer
    x = 594,910.32

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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.