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Finding the Fourth Proportional to 333,701, 500,547.48 and 134,017.80

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Solution

The fourth proportional to 333,701, 500,547.48 and 134,017.80 is: 201,025.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,701 : 500,547.48 = 134,017.80 : x
  2. Step 2: Convert to fraction form
    333,701/500,547.48 = 134,017.80/x
  3. Step 3: Cross multiply
    333,701x = 500,547.48 × 134,017.80
  4. Step 4: Simplify right side
    333,701x = 67,082,272,065.14
  5. Step 5: Solve for x
    x = 67,082,272,065.14/333,701
  6. Step 6: Final answer
    x = 201,025.09

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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.