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Finding the Fourth Proportional to 633,095.84, 873,666.84 and 342,706

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Solution

The fourth proportional to 633,095.84, 873,666.84 and 342,706 is: 472,931.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,095.84 : 873,666.84 = 342,706 : x
  2. Step 2: Convert to fraction form
    633,095.84/873,666.84 = 342,706/x
  3. Step 3: Cross multiply
    633,095.84x = 873,666.84 × 342,706
  4. Step 4: Simplify right side
    633,095.84x = 299,410,868,069.04
  5. Step 5: Solve for x
    x = 299,410,868,069.04/633,095.84
  6. Step 6: Final answer
    x = 472,931.35

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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.