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Finding the Fourth Proportional to 296,547.02, 409,235.73 and 160,582.58

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Solution

The fourth proportional to 296,547.02, 409,235.73 and 160,582.58 is: 221,604.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,547.02 : 409,235.73 = 160,582.58 : x
  2. Step 2: Convert to fraction form
    296,547.02/409,235.73 = 160,582.58/x
  3. Step 3: Cross multiply
    296,547.02x = 409,235.73 × 160,582.58
  4. Step 4: Simplify right side
    296,547.02x = 65,716,129,351.58
  5. Step 5: Solve for x
    x = 65,716,129,351.58/296,547.02
  6. Step 6: Final answer
    x = 221,604.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.