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Finding the Fourth Proportional to 442,203.46, 610,465.10 and 260,970.42

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Solution

The fourth proportional to 442,203.46, 610,465.10 and 260,970.42 is: 360,271.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,203.46 : 610,465.10 = 260,970.42 : x
  2. Step 2: Convert to fraction form
    442,203.46/610,465.10 = 260,970.42/x
  3. Step 3: Cross multiply
    442,203.46x = 610,465.10 × 260,970.42
  4. Step 4: Simplify right side
    442,203.46x = 159,313,333,542.34
  5. Step 5: Solve for x
    x = 159,313,333,542.34/442,203.46
  6. Step 6: Final answer
    x = 360,271.57

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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.