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Finding the Fourth Proportional to 506,533.29, 699,033.21 and 288,774.17

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Solution

The fourth proportional to 506,533.29, 699,033.21 and 288,774.17 is: 398,518.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,533.29 : 699,033.21 = 288,774.17 : x
  2. Step 2: Convert to fraction form
    506,533.29/699,033.21 = 288,774.17/x
  3. Step 3: Cross multiply
    506,533.29x = 699,033.21 × 288,774.17
  4. Step 4: Simplify right side
    506,533.29x = 201,862,731,525.02
  5. Step 5: Solve for x
    x = 201,862,731,525.02/506,533.29
  6. Step 6: Final answer
    x = 398,518.19

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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.