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Finding the Fourth Proportional to 567,492.67, 783,145.14 and 312,852.97

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Solution

The fourth proportional to 567,492.67, 783,145.14 and 312,852.97 is: 431,740.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,492.67 : 783,145.14 = 312,852.97 : x
  2. Step 2: Convert to fraction form
    567,492.67/783,145.14 = 312,852.97/x
  3. Step 3: Cross multiply
    567,492.67x = 783,145.14 × 312,852.97
  4. Step 4: Simplify right side
    567,492.67x = 245,009,282,990.07
  5. Step 5: Solve for x
    x = 245,009,282,990.07/567,492.67
  6. Step 6: Final answer
    x = 431,740.00

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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.