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Finding the Fourth Proportional to 535,297.83, 802,692.51 and 310,727.16

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Solution

The fourth proportional to 535,297.83, 802,692.51 and 310,727.16 is: 465,943.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,297.83 : 802,692.51 = 310,727.16 : x
  2. Step 2: Convert to fraction form
    535,297.83/802,692.51 = 310,727.16/x
  3. Step 3: Cross multiply
    535,297.83x = 802,692.51 × 310,727.16
  4. Step 4: Simplify right side
    535,297.83x = 249,418,363,985.57
  5. Step 5: Solve for x
    x = 249,418,363,985.57/535,297.83
  6. Step 6: Final answer
    x = 465,943.16

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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.