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Finding the Fourth Proportional to 360,530.69, 497,382 and 207,532.27

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Solution

The fourth proportional to 360,530.69, 497,382 and 207,532.27 is: 286,307.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,530.69 : 497,382 = 207,532.27 : x
  2. Step 2: Convert to fraction form
    360,530.69/497,382 = 207,532.27/x
  3. Step 3: Cross multiply
    360,530.69x = 497,382 × 207,532.27
  4. Step 4: Simplify right side
    360,530.69x = 103,222,813,030.23
  5. Step 5: Solve for x
    x = 103,222,813,030.23/360,530.69
  6. Step 6: Final answer
    x = 286,307.98

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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.