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Finding the Fourth Proportional to 510,904.80, 766,702.80 and 286,264.80

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Solution

The fourth proportional to 510,904.80, 766,702.80 and 286,264.80 is: 429,590.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,904.80 : 766,702.80 = 286,264.80 : x
  2. Step 2: Convert to fraction form
    510,904.80/766,702.80 = 286,264.80/x
  3. Step 3: Cross multiply
    510,904.80x = 766,702.80 × 286,264.80
  4. Step 4: Simplify right side
    510,904.80x = 219,480,023,701.44
  5. Step 5: Solve for x
    x = 219,480,023,701.44/510,904.80
  6. Step 6: Final answer
    x = 429,590.84

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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.