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Finding the Fourth Proportional to 630,648, 870,312.69 and 344,186.46

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Solution

The fourth proportional to 630,648, 870,312.69 and 344,186.46 is: 474,987.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,648 : 870,312.69 = 344,186.46 : x
  2. Step 2: Convert to fraction form
    630,648/870,312.69 = 344,186.46/x
  3. Step 3: Cross multiply
    630,648x = 870,312.69 × 344,186.46
  4. Step 4: Simplify right side
    630,648x = 299,549,843,864.18
  5. Step 5: Solve for x
    x = 299,549,843,864.18/630,648
  6. Step 6: Final answer
    x = 474,987.38

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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.