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Finding the Fourth Proportional to 657,358.20, 983,963.70 and 470,734.20

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Solution

The fourth proportional to 657,358.20, 983,963.70 and 470,734.20 is: 704,616.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,358.20 : 983,963.70 = 470,734.20 : x
  2. Step 2: Convert to fraction form
    657,358.20/983,963.70 = 470,734.20/x
  3. Step 3: Cross multiply
    657,358.20x = 983,963.70 × 470,734.20
  4. Step 4: Simplify right side
    657,358.20x = 463,185,365,148.54
  5. Step 5: Solve for x
    x = 463,185,365,148.54/657,358.20
  6. Step 6: Final answer
    x = 704,616.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.