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Finding the Fourth Proportional to 410,775.60, 566,814.24 and 229,465.11

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Solution

The fourth proportional to 410,775.60, 566,814.24 and 229,465.11 is: 316,630.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,775.60 : 566,814.24 = 229,465.11 : x
  2. Step 2: Convert to fraction form
    410,775.60/566,814.24 = 229,465.11/x
  3. Step 3: Cross multiply
    410,775.60x = 566,814.24 × 229,465.11
  4. Step 4: Simplify right side
    410,775.60x = 130,064,091,931.17
  5. Step 5: Solve for x
    x = 130,064,091,931.17/410,775.60
  6. Step 6: Final answer
    x = 316,630.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.