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Finding the Fourth Proportional to 475,659.84, 713,598.96 and 160,108.32

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Solution

The fourth proportional to 475,659.84, 713,598.96 and 160,108.32 is: 240,199.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,659.84 : 713,598.96 = 160,108.32 : x
  2. Step 2: Convert to fraction form
    475,659.84/713,598.96 = 160,108.32/x
  3. Step 3: Cross multiply
    475,659.84x = 713,598.96 × 160,108.32
  4. Step 4: Simplify right side
    475,659.84x = 114,253,130,639.35
  5. Step 5: Solve for x
    x = 114,253,130,639.35/475,659.84
  6. Step 6: Final answer
    x = 240,199.24

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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.