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Finding the Fourth Proportional to 459,995.51, 689,742.95 and 160,395.95

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Solution

The fourth proportional to 459,995.51, 689,742.95 and 160,395.95 is: 240,506.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,995.51 : 689,742.95 = 160,395.95 : x
  2. Step 2: Convert to fraction form
    459,995.51/689,742.95 = 160,395.95/x
  3. Step 3: Cross multiply
    459,995.51x = 689,742.95 × 160,395.95
  4. Step 4: Simplify right side
    459,995.51x = 110,631,971,470.36
  5. Step 5: Solve for x
    x = 110,631,971,470.36/459,995.51
  6. Step 6: Final answer
    x = 240,506.64

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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.