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Finding the Fourth Proportional to 578,419.80, 866,477.70 and 509,146.20

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Solution

The fourth proportional to 578,419.80, 866,477.70 and 509,146.20 is: 762,705.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,419.80 : 866,477.70 = 509,146.20 : x
  2. Step 2: Convert to fraction form
    578,419.80/866,477.70 = 509,146.20/x
  3. Step 3: Cross multiply
    578,419.80x = 866,477.70 × 509,146.20
  4. Step 4: Simplify right side
    578,419.80x = 441,163,828,339.74
  5. Step 5: Solve for x
    x = 441,163,828,339.74/578,419.80
  6. Step 6: Final answer
    x = 762,705.27

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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.