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Finding the Fourth Proportional to 407,117.51, 611,630.59 and 384,111.78

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Solution

The fourth proportional to 407,117.51, 611,630.59 and 384,111.78 is: 577,068.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,117.51 : 611,630.59 = 384,111.78 : x
  2. Step 2: Convert to fraction form
    407,117.51/611,630.59 = 384,111.78/x
  3. Step 3: Cross multiply
    407,117.51x = 611,630.59 × 384,111.78
  4. Step 4: Simplify right side
    407,117.51x = 234,934,512,706.79
  5. Step 5: Solve for x
    x = 234,934,512,706.79/407,117.51
  6. Step 6: Final answer
    x = 577,068.07

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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.