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Finding the Fourth Proportional to 294,637.50, 406,599.75 and 160,501.50

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Solution

The fourth proportional to 294,637.50, 406,599.75 and 160,501.50 is: 221,492.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,637.50 : 406,599.75 = 160,501.50 : x
  2. Step 2: Convert to fraction form
    294,637.50/406,599.75 = 160,501.50/x
  3. Step 3: Cross multiply
    294,637.50x = 406,599.75 × 160,501.50
  4. Step 4: Simplify right side
    294,637.50x = 65,259,869,774.63
  5. Step 5: Solve for x
    x = 65,259,869,774.63/294,637.50
  6. Step 6: Final answer
    x = 221,492.07

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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.