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Finding the Fourth Proportional to 510,075.40, 763,946.70 and 260,465.80

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Solution

The fourth proportional to 510,075.40, 763,946.70 and 260,465.80 is: 390,103.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,075.40 : 763,946.70 = 260,465.80 : x
  2. Step 2: Convert to fraction form
    510,075.40/763,946.70 = 260,465.80/x
  3. Step 3: Cross multiply
    510,075.40x = 763,946.70 × 260,465.80
  4. Step 4: Simplify right side
    510,075.40x = 198,981,988,372.86
  5. Step 5: Solve for x
    x = 198,981,988,372.86/510,075.40
  6. Step 6: Final answer
    x = 390,103.09

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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.