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Finding the Fourth Proportional to 296,492.60, 409,159.96 and 160,526.58

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Solution

The fourth proportional to 296,492.60, 409,159.96 and 160,526.58 is: 221,526.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,492.60 : 409,159.96 = 160,526.58 : x
  2. Step 2: Convert to fraction form
    296,492.60/409,159.96 = 160,526.58/x
  3. Step 3: Cross multiply
    296,492.60x = 409,159.96 × 160,526.58
  4. Step 4: Simplify right side
    296,492.60x = 65,681,049,051.74
  5. Step 5: Solve for x
    x = 65,681,049,051.74/296,492.60
  6. Step 6: Final answer
    x = 221,526.77

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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.