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Finding the Fourth Proportional to 460,492.98, 691,210.62 and 380,275.44

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Solution

The fourth proportional to 460,492.98, 691,210.62 and 380,275.44 is: 570,802.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,492.98 : 691,210.62 = 380,275.44 : x
  2. Step 2: Convert to fraction form
    460,492.98/691,210.62 = 380,275.44/x
  3. Step 3: Cross multiply
    460,492.98x = 691,210.62 × 380,275.44
  4. Step 4: Simplify right side
    460,492.98x = 262,850,422,653.17
  5. Step 5: Solve for x
    x = 262,850,422,653.17/460,492.98
  6. Step 6: Final answer
    x = 570,802.24

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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.