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Finding the Fourth Proportional to 314,465.94, 434,232.72 and 304,298.10

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Solution

The fourth proportional to 314,465.94, 434,232.72 and 304,298.10 is: 420,192.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,465.94 : 434,232.72 = 304,298.10 : x
  2. Step 2: Convert to fraction form
    314,465.94/434,232.72 = 304,298.10/x
  3. Step 3: Cross multiply
    314,465.94x = 434,232.72 × 304,298.10
  4. Step 4: Simplify right side
    314,465.94x = 132,136,191,653.83
  5. Step 5: Solve for x
    x = 132,136,191,653.83/314,465.94
  6. Step 6: Final answer
    x = 420,192.38

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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.