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Finding the Fourth Proportional to 304,506, 456,802.56 and 94,160.16

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Solution

The fourth proportional to 304,506, 456,802.56 and 94,160.16 is: 141,253.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,506 : 456,802.56 = 94,160.16 : x
  2. Step 2: Convert to fraction form
    304,506/456,802.56 = 94,160.16/x
  3. Step 3: Cross multiply
    304,506x = 456,802.56 × 94,160.16
  4. Step 4: Simplify right side
    304,506x = 43,012,602,138.01
  5. Step 5: Solve for x
    x = 43,012,602,138.01/304,506
  6. Step 6: Final answer
    x = 141,253.71

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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.