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Finding the Fourth Proportional to 471,150.64, 706,444.98 and 319,534.48

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Solution

The fourth proportional to 471,150.64, 706,444.98 and 319,534.48 is: 479,111.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,150.64 : 706,444.98 = 319,534.48 : x
  2. Step 2: Convert to fraction form
    471,150.64/706,444.98 = 319,534.48/x
  3. Step 3: Cross multiply
    471,150.64x = 706,444.98 × 319,534.48
  4. Step 4: Simplify right side
    471,150.64x = 225,733,529,332.91
  5. Step 5: Solve for x
    x = 225,733,529,332.91/471,150.64
  6. Step 6: Final answer
    x = 479,111.16

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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.