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Finding the Fourth Proportional to 569,484, 785,904.32 and 314,851.59

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Solution

The fourth proportional to 569,484, 785,904.32 and 314,851.59 is: 434,504.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,484 : 785,904.32 = 314,851.59 : x
  2. Step 2: Convert to fraction form
    569,484/785,904.32 = 314,851.59/x
  3. Step 3: Cross multiply
    569,484x = 785,904.32 × 314,851.59
  4. Step 4: Simplify right side
    569,484x = 247,443,225,527.00
  5. Step 5: Solve for x
    x = 247,443,225,527.00/569,484
  6. Step 6: Final answer
    x = 434,504.26

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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.