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Finding the Fourth Proportional to 647,720.04, 971,609.24 and 198,408.16

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Solution

The fourth proportional to 647,720.04, 971,609.24 and 198,408.16 is: 297,621.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,720.04 : 971,609.24 = 198,408.16 : x
  2. Step 2: Convert to fraction form
    647,720.04/971,609.24 = 198,408.16/x
  3. Step 3: Cross multiply
    647,720.04x = 971,609.24 × 198,408.16
  4. Step 4: Simplify right side
    647,720.04x = 192,775,201,547.40
  5. Step 5: Solve for x
    x = 192,775,201,547.40/647,720.04
  6. Step 6: Final answer
    x = 297,621.18

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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.