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Finding the Fourth Proportional to 473,965.32, 710,803.38 and 249,203.82

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Solution

The fourth proportional to 473,965.32, 710,803.38 and 249,203.82 is: 373,729.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,965.32 : 710,803.38 = 249,203.82 : x
  2. Step 2: Convert to fraction form
    473,965.32/710,803.38 = 249,203.82/x
  3. Step 3: Cross multiply
    473,965.32x = 710,803.38 × 249,203.82
  4. Step 4: Simplify right side
    473,965.32x = 177,134,917,564.91
  5. Step 5: Solve for x
    x = 177,134,917,564.91/473,965.32
  6. Step 6: Final answer
    x = 373,729.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.