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Finding the Fourth Proportional to 586,633.71, 809,566.01 and 382,815.03

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Solution

The fourth proportional to 586,633.71, 809,566.01 and 382,815.03 is: 528,292.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,633.71 : 809,566.01 = 382,815.03 : x
  2. Step 2: Convert to fraction form
    586,633.71/809,566.01 = 382,815.03/x
  3. Step 3: Cross multiply
    586,633.71x = 809,566.01 × 382,815.03
  4. Step 4: Simplify right side
    586,633.71x = 309,914,036,405.13
  5. Step 5: Solve for x
    x = 309,914,036,405.13/586,633.71
  6. Step 6: Final answer
    x = 528,292.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.