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Finding the Fourth Proportional to 314,282.77, 471,421.58 and 208,141.74

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Solution

The fourth proportional to 314,282.77, 471,421.58 and 208,141.74 is: 312,210.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,282.77 : 471,421.58 = 208,141.74 : x
  2. Step 2: Convert to fraction form
    314,282.77/471,421.58 = 208,141.74/x
  3. Step 3: Cross multiply
    314,282.77x = 471,421.58 × 208,141.74
  4. Step 4: Simplify right side
    314,282.77x = 98,122,506,894.04
  5. Step 5: Solve for x
    x = 98,122,506,894.04/314,282.77
  6. Step 6: Final answer
    x = 312,210.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.