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Finding the Fourth Proportional to 510,903.16, 705,068.16 and 284,548.68

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Solution

The fourth proportional to 510,903.16, 705,068.16 and 284,548.68 is: 392,689.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,903.16 : 705,068.16 = 284,548.68 : x
  2. Step 2: Convert to fraction form
    510,903.16/705,068.16 = 284,548.68/x
  3. Step 3: Cross multiply
    510,903.16x = 705,068.16 × 284,548.68
  4. Step 4: Simplify right side
    510,903.16x = 200,626,214,238.03
  5. Step 5: Solve for x
    x = 200,626,214,238.03/510,903.16
  6. Step 6: Final answer
    x = 392,689.32

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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.