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Finding the Fourth Proportional to 556,088.41, 767,393.89 and 314,362.95

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Solution

The fourth proportional to 556,088.41, 767,393.89 and 314,362.95 is: 433,816.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,088.41 : 767,393.89 = 314,362.95 : x
  2. Step 2: Convert to fraction form
    556,088.41/767,393.89 = 314,362.95/x
  3. Step 3: Cross multiply
    556,088.41x = 767,393.89 × 314,362.95
  4. Step 4: Simplify right side
    556,088.41x = 241,240,207,072.38
  5. Step 5: Solve for x
    x = 241,240,207,072.38/556,088.41
  6. Step 6: Final answer
    x = 433,816.28

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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.