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Finding the Fourth Proportional to 586,909.50, 809,935.11 and 318,637.50

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Solution

The fourth proportional to 586,909.50, 809,935.11 and 318,637.50 is: 439,719.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,909.50 : 809,935.11 = 318,637.50 : x
  2. Step 2: Convert to fraction form
    586,909.50/809,935.11 = 318,637.50/x
  3. Step 3: Cross multiply
    586,909.50x = 809,935.11 × 318,637.50
  4. Step 4: Simplify right side
    586,909.50x = 258,075,698,612.63
  5. Step 5: Solve for x
    x = 258,075,698,612.63/586,909.50
  6. Step 6: Final answer
    x = 439,719.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.