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Finding the Fourth Proportional to 407,904.66, 562,988.93 and 260,635.32

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Solution

The fourth proportional to 407,904.66, 562,988.93 and 260,635.32 is: 359,728.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,904.66 : 562,988.93 = 260,635.32 : x
  2. Step 2: Convert to fraction form
    407,904.66/562,988.93 = 260,635.32/x
  3. Step 3: Cross multiply
    407,904.66x = 562,988.93 × 260,635.32
  4. Step 4: Simplify right side
    407,904.66x = 146,734,798,623.83
  5. Step 5: Solve for x
    x = 146,734,798,623.83/407,904.66
  6. Step 6: Final answer
    x = 359,728.17

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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.