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Finding the Fourth Proportional to 459,482.61, 689,256.81 and 122,521.50

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Solution

The fourth proportional to 459,482.61, 689,256.81 and 122,521.50 is: 183,791.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,482.61 : 689,256.81 = 122,521.50 : x
  2. Step 2: Convert to fraction form
    459,482.61/689,256.81 = 122,521.50/x
  3. Step 3: Cross multiply
    459,482.61x = 689,256.81 × 122,521.50
  4. Step 4: Simplify right side
    459,482.61x = 84,448,778,246.42
  5. Step 5: Solve for x
    x = 84,448,778,246.42/459,482.61
  6. Step 6: Final answer
    x = 183,791.02

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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.