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Finding the Fourth Proportional to 304,503.75, 420,216 and 168,547.07

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Solution

The fourth proportional to 304,503.75, 420,216 and 168,547.07 is: 232,595.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,503.75 : 420,216 = 168,547.07 : x
  2. Step 2: Convert to fraction form
    304,503.75/420,216 = 168,547.07/x
  3. Step 3: Cross multiply
    304,503.75x = 420,216 × 168,547.07
  4. Step 4: Simplify right side
    304,503.75x = 70,826,175,567.12
  5. Step 5: Solve for x
    x = 70,826,175,567.12/304,503.75
  6. Step 6: Final answer
    x = 232,595.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.