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Finding the Fourth Proportional to 296,402, 444,602.30 and 229,032.02

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Solution

The fourth proportional to 296,402, 444,602.30 and 229,032.02 is: 343,547.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,402 : 444,602.30 = 229,032.02 : x
  2. Step 2: Convert to fraction form
    296,402/444,602.30 = 229,032.02/x
  3. Step 3: Cross multiply
    296,402x = 444,602.30 × 229,032.02
  4. Step 4: Simplify right side
    296,402x = 101,828,162,865.65
  5. Step 5: Solve for x
    x = 101,828,162,865.65/296,402
  6. Step 6: Final answer
    x = 343,547.49

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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.