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Finding the Fourth Proportional to 567,540, 783,210.51 and 312,900.30

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Solution

The fourth proportional to 567,540, 783,210.51 and 312,900.30 is: 431,805.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,540 : 783,210.51 = 312,900.30 : x
  2. Step 2: Convert to fraction form
    567,540/783,210.51 = 312,900.30/x
  3. Step 3: Cross multiply
    567,540x = 783,210.51 × 312,900.30
  4. Step 4: Simplify right side
    567,540x = 245,066,803,542.15
  5. Step 5: Solve for x
    x = 245,066,803,542.15/567,540
  6. Step 6: Final answer
    x = 431,805.34

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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.