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Finding the Fourth Proportional to 531,072.64, 732,870.93 and 289,356.94

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Solution

The fourth proportional to 531,072.64, 732,870.93 and 289,356.94 is: 399,307.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,072.64 : 732,870.93 = 289,356.94 : x
  2. Step 2: Convert to fraction form
    531,072.64/732,870.93 = 289,356.94/x
  3. Step 3: Cross multiply
    531,072.64x = 732,870.93 × 289,356.94
  4. Step 4: Simplify right side
    531,072.64x = 212,061,289,719.75
  5. Step 5: Solve for x
    x = 212,061,289,719.75/531,072.64
  6. Step 6: Final answer
    x = 399,307.50

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Why These Related Problems?

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