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Finding the Fourth Proportional to 411,970.50, 614,866.95 and 385,066.26

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Solution

The fourth proportional to 411,970.50, 614,866.95 and 385,066.26 is: 574,712.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,970.50 : 614,866.95 = 385,066.26 : x
  2. Step 2: Convert to fraction form
    411,970.50/614,866.95 = 385,066.26/x
  3. Step 3: Cross multiply
    411,970.50x = 614,866.95 × 385,066.26
  4. Step 4: Simplify right side
    411,970.50x = 236,764,516,834.11
  5. Step 5: Solve for x
    x = 236,764,516,834.11/411,970.50
  6. Step 6: Final answer
    x = 574,712.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.