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Finding the Fourth Proportional to 403,507.41, 604,473.71 and 314,343.42

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Solution

The fourth proportional to 403,507.41, 604,473.71 and 314,343.42 is: 470,901.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,507.41 : 604,473.71 = 314,343.42 : x
  2. Step 2: Convert to fraction form
    403,507.41/604,473.71 = 314,343.42/x
  3. Step 3: Cross multiply
    403,507.41x = 604,473.71 × 314,343.42
  4. Step 4: Simplify right side
    403,507.41x = 190,012,331,729.77
  5. Step 5: Solve for x
    x = 190,012,331,729.77/403,507.41
  6. Step 6: Final answer
    x = 470,901.72

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1.5x scale

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.