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Finding the Fourth Proportional to 314,336.87, 471,509.64 and 89,697.24

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Solution

The fourth proportional to 314,336.87, 471,509.64 and 89,697.24 is: 134,547.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,336.87 : 471,509.64 = 89,697.24 : x
  2. Step 2: Convert to fraction form
    314,336.87/471,509.64 = 89,697.24/x
  3. Step 3: Cross multiply
    314,336.87x = 471,509.64 × 89,697.24
  4. Step 4: Simplify right side
    314,336.87x = 42,293,113,341.39
  5. Step 5: Solve for x
    x = 42,293,113,341.39/314,336.87
  6. Step 6: Final answer
    x = 134,547.10

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Why These Related Problems?

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