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Finding the Fourth Proportional to 553,314.60, 829,971.90 and 493,828.20

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Solution

The fourth proportional to 553,314.60, 829,971.90 and 493,828.20 is: 740,742.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,314.60 : 829,971.90 = 493,828.20 : x
  2. Step 2: Convert to fraction form
    553,314.60/829,971.90 = 493,828.20/x
  3. Step 3: Cross multiply
    553,314.60x = 829,971.90 × 493,828.20
  4. Step 4: Simplify right side
    553,314.60x = 409,863,529,427.58
  5. Step 5: Solve for x
    x = 409,863,529,427.58/553,314.60
  6. Step 6: Final answer
    x = 740,742.30

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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.