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Finding the Fourth Proportional to 514,566.90, 772,705.71 and 347,164.20

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Solution

The fourth proportional to 514,566.90, 772,705.71 and 347,164.20 is: 521,323.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,566.90 : 772,705.71 = 347,164.20 : x
  2. Step 2: Convert to fraction form
    514,566.90/772,705.71 = 347,164.20/x
  3. Step 3: Cross multiply
    514,566.90x = 772,705.71 × 347,164.20
  4. Step 4: Simplify right side
    514,566.90x = 268,255,759,647.58
  5. Step 5: Solve for x
    x = 268,255,759,647.58/514,566.90
  6. Step 6: Final answer
    x = 521,323.39

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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.