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Finding the Fourth Proportional to 307,730.20, 460,904.10 and 307,730.20

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Solution

The fourth proportional to 307,730.20, 460,904.10 and 307,730.20 is: 460,904.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,730.20 : 460,904.10 = 307,730.20 : x
  2. Step 2: Convert to fraction form
    307,730.20/460,904.10 = 307,730.20/x
  3. Step 3: Cross multiply
    307,730.20x = 460,904.10 × 307,730.20
  4. Step 4: Simplify right side
    307,730.20x = 141,834,110,873.82
  5. Step 5: Solve for x
    x = 141,834,110,873.82/307,730.20
  6. Step 6: Final answer
    x = 460,904.10

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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.