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Finding the Fourth Proportional to 510,070.80, 765,106.20 and 307,117.20

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Solution

The fourth proportional to 510,070.80, 765,106.20 and 307,117.20 is: 460,675.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,070.80 : 765,106.20 = 307,117.20 : x
  2. Step 2: Convert to fraction form
    510,070.80/765,106.20 = 307,117.20/x
  3. Step 3: Cross multiply
    510,070.80x = 765,106.20 × 307,117.20
  4. Step 4: Simplify right side
    510,070.80x = 234,977,273,846.64
  5. Step 5: Solve for x
    x = 234,977,273,846.64/510,070.80
  6. Step 6: Final answer
    x = 460,675.80

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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.