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Finding the Fourth Proportional to 459,079.80, 688,619.70 and 385,596.60

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Solution

The fourth proportional to 459,079.80, 688,619.70 and 385,596.60 is: 578,394.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,079.80 : 688,619.70 = 385,596.60 : x
  2. Step 2: Convert to fraction form
    459,079.80/688,619.70 = 385,596.60/x
  3. Step 3: Cross multiply
    459,079.80x = 688,619.70 × 385,596.60
  4. Step 4: Simplify right side
    459,079.80x = 265,529,415,013.02
  5. Step 5: Solve for x
    x = 265,529,415,013.02/459,079.80
  6. Step 6: Final answer
    x = 578,394.90

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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.