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Finding the Fourth Proportional to 346,095.84, 519,375.40 and 121,457.32

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Solution

The fourth proportional to 346,095.84, 519,375.40 and 121,457.32 is: 182,267.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,095.84 : 519,375.40 = 121,457.32 : x
  2. Step 2: Convert to fraction form
    346,095.84/519,375.40 = 121,457.32/x
  3. Step 3: Cross multiply
    346,095.84x = 519,375.40 × 121,457.32
  4. Step 4: Simplify right side
    346,095.84x = 63,081,944,157.93
  5. Step 5: Solve for x
    x = 63,081,944,157.93/346,095.84
  6. Step 6: Final answer
    x = 182,267.27

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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.