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Finding the Fourth Proportional to 233,307.80, 349,086.90 and 212,312.60

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Solution

The fourth proportional to 233,307.80, 349,086.90 and 212,312.60 is: 317,672.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,307.80 : 349,086.90 = 212,312.60 : x
  2. Step 2: Convert to fraction form
    233,307.80/349,086.90 = 212,312.60/x
  3. Step 3: Cross multiply
    233,307.80x = 349,086.90 × 212,312.60
  4. Step 4: Simplify right side
    233,307.80x = 74,115,547,364.94
  5. Step 5: Solve for x
    x = 74,115,547,364.94/233,307.80
  6. Step 6: Final answer
    x = 317,672.82

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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.