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Finding the Fourth Proportional to 333,821.40, 500,051.70 and 207,072.60

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Solution

The fourth proportional to 333,821.40, 500,051.70 and 207,072.60 is: 310,186.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,821.40 : 500,051.70 = 207,072.60 : x
  2. Step 2: Convert to fraction form
    333,821.40/500,051.70 = 207,072.60/x
  3. Step 3: Cross multiply
    333,821.40x = 500,051.70 × 207,072.60
  4. Step 4: Simplify right side
    333,821.40x = 103,547,005,653.42
  5. Step 5: Solve for x
    x = 103,547,005,653.42/333,821.40
  6. Step 6: Final answer
    x = 310,186.84

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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.