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Finding the Fourth Proportional to 407,248.82, 562,333.56 and 254,465

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Solution

The fourth proportional to 407,248.82, 562,333.56 and 254,465 is: 351,368.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,248.82 : 562,333.56 = 254,465 : x
  2. Step 2: Convert to fraction form
    407,248.82/562,333.56 = 254,465/x
  3. Step 3: Cross multiply
    407,248.82x = 562,333.56 × 254,465
  4. Step 4: Simplify right side
    407,248.82x = 143,094,209,345.40
  5. Step 5: Solve for x
    x = 143,094,209,345.40/407,248.82
  6. Step 6: Final answer
    x = 351,368.01

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Why These Related Problems?

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