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Finding the Fourth Proportional to 524,415.92, 723,756.16 and 298,095.44

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Solution

The fourth proportional to 524,415.92, 723,756.16 and 298,095.44 is: 411,407.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,415.92 : 723,756.16 = 298,095.44 : x
  2. Step 2: Convert to fraction form
    524,415.92/723,756.16 = 298,095.44/x
  3. Step 3: Cross multiply
    524,415.92x = 723,756.16 × 298,095.44
  4. Step 4: Simplify right side
    524,415.92x = 215,748,410,967.91
  5. Step 5: Solve for x
    x = 215,748,410,967.91/524,415.92
  6. Step 6: Final answer
    x = 411,407.06

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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.