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Finding the Fourth Proportional to 289,599.06, 399,646.17 and 176,421.81

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Solution

The fourth proportional to 289,599.06, 399,646.17 and 176,421.81 is: 243,461.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,599.06 : 399,646.17 = 176,421.81 : x
  2. Step 2: Convert to fraction form
    289,599.06/399,646.17 = 176,421.81/x
  3. Step 3: Cross multiply
    289,599.06x = 399,646.17 × 176,421.81
  4. Step 4: Simplify right side
    289,599.06x = 70,506,300,670.97
  5. Step 5: Solve for x
    x = 70,506,300,670.97/289,599.06
  6. Step 6: Final answer
    x = 243,461.77

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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.