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Finding the Fourth Proportional to 707,119.94, 975,806.80 and 384,823.10

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Solution

The fourth proportional to 707,119.94, 975,806.80 and 384,823.10 is: 531,045.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,119.94 : 975,806.80 = 384,823.10 : x
  2. Step 2: Convert to fraction form
    707,119.94/975,806.80 = 384,823.10/x
  3. Step 3: Cross multiply
    707,119.94x = 975,806.80 × 384,823.10
  4. Step 4: Simplify right side
    707,119.94x = 375,512,999,254.54
  5. Step 5: Solve for x
    x = 375,512,999,254.54/707,119.94
  6. Step 6: Final answer
    x = 531,045.69

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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.