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Finding the Fourth Proportional to 475,647.74, 713,545.32 and 160,080.02

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Solution

The fourth proportional to 475,647.74, 713,545.32 and 160,080.02 is: 240,144.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,647.74 : 713,545.32 = 160,080.02 : x
  2. Step 2: Convert to fraction form
    475,647.74/713,545.32 = 160,080.02/x
  3. Step 3: Cross multiply
    475,647.74x = 713,545.32 × 160,080.02
  4. Step 4: Simplify right side
    475,647.74x = 114,224,349,096.51
  5. Step 5: Solve for x
    x = 114,224,349,096.51/475,647.74
  6. Step 6: Final answer
    x = 240,144.84

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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.