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Finding the Fourth Proportional to 403,496.16, 556,799.04 and 242,358

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Solution

The fourth proportional to 403,496.16, 556,799.04 and 242,358 is: 334,438.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,496.16 : 556,799.04 = 242,358 : x
  2. Step 2: Convert to fraction form
    403,496.16/556,799.04 = 242,358/x
  3. Step 3: Cross multiply
    403,496.16x = 556,799.04 × 242,358
  4. Step 4: Simplify right side
    403,496.16x = 134,944,701,736.32
  5. Step 5: Solve for x
    x = 134,944,701,736.32/403,496.16
  6. Step 6: Final answer
    x = 334,438.63

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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.