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Finding the Fourth Proportional to 470,688.64, 706,026.88 and 115,705.74

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Solution

The fourth proportional to 470,688.64, 706,026.88 and 115,705.74 is: 173,557.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,688.64 : 706,026.88 = 115,705.74 : x
  2. Step 2: Convert to fraction form
    470,688.64/706,026.88 = 115,705.74/x
  3. Step 3: Cross multiply
    470,688.64x = 706,026.88 × 115,705.74
  4. Step 4: Simplify right side
    470,688.64x = 81,691,362,610.29
  5. Step 5: Solve for x
    x = 81,691,362,610.29/470,688.64
  6. Step 6: Final answer
    x = 173,557.12

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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.