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Finding the Fourth Proportional to 977,300.80, 1,464,784.80 and 408,680.80

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Solution

The fourth proportional to 977,300.80, 1,464,784.80 and 408,680.80 is: 612,533.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,300.80 : 1,464,784.80 = 408,680.80 : x
  2. Step 2: Convert to fraction form
    977,300.80/1,464,784.80 = 408,680.80/x
  3. Step 3: Cross multiply
    977,300.80x = 1,464,784.80 × 408,680.80
  4. Step 4: Simplify right side
    977,300.80x = 598,629,423,891.84
  5. Step 5: Solve for x
    x = 598,629,423,891.84/977,300.80
  6. Step 6: Final answer
    x = 612,533.44

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1.5x scale

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.