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Finding the Fourth Proportional to 459,710.80, 689,566.20 and 426,533.20

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Solution

The fourth proportional to 459,710.80, 689,566.20 and 426,533.20 is: 639,799.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,710.80 : 689,566.20 = 426,533.20 : x
  2. Step 2: Convert to fraction form
    459,710.80/689,566.20 = 426,533.20/x
  3. Step 3: Cross multiply
    459,710.80x = 689,566.20 × 426,533.20
  4. Step 4: Simplify right side
    459,710.80x = 294,122,877,897.84
  5. Step 5: Solve for x
    x = 294,122,877,897.84/459,710.80
  6. Step 6: Final answer
    x = 639,799.80

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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.