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Finding the Fourth Proportional to 312,368.90, 468,547.88 and 122,848.95

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Solution

The fourth proportional to 312,368.90, 468,547.88 and 122,848.95 is: 184,271.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,368.90 : 468,547.88 = 122,848.95 : x
  2. Step 2: Convert to fraction form
    312,368.90/468,547.88 = 122,848.95/x
  3. Step 3: Cross multiply
    312,368.90x = 468,547.88 × 122,848.95
  4. Step 4: Simplify right side
    312,368.90x = 57,560,615,082.73
  5. Step 5: Solve for x
    x = 57,560,615,082.73/312,368.90
  6. Step 6: Final answer
    x = 184,271.27

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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.