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Finding the Fourth Proportional to 314,362.47, 471,577.28 and 134,466.50

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Solution

The fourth proportional to 314,362.47, 471,577.28 and 134,466.50 is: 201,714.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,362.47 : 471,577.28 = 134,466.50 : x
  2. Step 2: Convert to fraction form
    314,362.47/471,577.28 = 134,466.50/x
  3. Step 3: Cross multiply
    314,362.47x = 471,577.28 × 134,466.50
  4. Step 4: Simplify right side
    314,362.47x = 63,411,346,827.73
  5. Step 5: Solve for x
    x = 63,411,346,827.73/314,362.47
  6. Step 6: Final answer
    x = 201,714.11

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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.