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Finding the Fourth Proportional to 1,312,234.07, 1,968,351.10 and 314,962.07

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Solution

The fourth proportional to 1,312,234.07, 1,968,351.10 and 314,962.07 is: 472,443.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312,234.07 : 1,968,351.10 = 314,962.07 : x
  2. Step 2: Convert to fraction form
    1,312,234.07/1,968,351.10 = 314,962.07/x
  3. Step 3: Cross multiply
    1,312,234.07x = 1,968,351.10 × 314,962.07
  4. Step 4: Simplify right side
    1,312,234.07x = 619,955,927,101.02
  5. Step 5: Solve for x
    x = 619,955,927,101.02/1,312,234.07
  6. Step 6: Final answer
    x = 472,443.10

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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.