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Finding the Fourth Proportional to 562,425.12, 776,145.24 and 307,774.08

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Solution

The fourth proportional to 562,425.12, 776,145.24 and 307,774.08 is: 424,727.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,425.12 : 776,145.24 = 307,774.08 : x
  2. Step 2: Convert to fraction form
    562,425.12/776,145.24 = 307,774.08/x
  3. Step 3: Cross multiply
    562,425.12x = 776,145.24 × 307,774.08
  4. Step 4: Simplify right side
    562,425.12x = 238,877,387,187.38
  5. Step 5: Solve for x
    x = 238,877,387,187.38/562,425.12
  6. Step 6: Final answer
    x = 424,727.45

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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.