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Finding the Fourth Proportional to 473,886.45, 710,829.68 and 473,886.45

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Solution

The fourth proportional to 473,886.45, 710,829.68 and 473,886.45 is: 710,829.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,886.45 : 710,829.68 = 473,886.45 : x
  2. Step 2: Convert to fraction form
    473,886.45/710,829.68 = 473,886.45/x
  3. Step 3: Cross multiply
    473,886.45x = 710,829.68 × 473,886.45
  4. Step 4: Simplify right side
    473,886.45x = 336,852,551,240.40
  5. Step 5: Solve for x
    x = 336,852,551,240.40/473,886.45
  6. Step 6: Final answer
    x = 710,829.68

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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.