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Finding the Fourth Proportional to 341,501.66, 510,983.82 and 214,547.52

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Solution

The fourth proportional to 341,501.66, 510,983.82 and 214,547.52 is: 321,024.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,501.66 : 510,983.82 = 214,547.52 : x
  2. Step 2: Convert to fraction form
    341,501.66/510,983.82 = 214,547.52/x
  3. Step 3: Cross multiply
    341,501.66x = 510,983.82 × 214,547.52
  4. Step 4: Simplify right side
    341,501.66x = 109,630,311,341.13
  5. Step 5: Solve for x
    x = 109,630,311,341.13/341,501.66
  6. Step 6: Final answer
    x = 321,024.25

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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.