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Finding the Fourth Proportional to 525,070, 787,646.40 and 258,685.18

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Solution

The fourth proportional to 525,070, 787,646.40 and 258,685.18 is: 388,048.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,070 : 787,646.40 = 258,685.18 : x
  2. Step 2: Convert to fraction form
    525,070/787,646.40 = 258,685.18/x
  3. Step 3: Cross multiply
    525,070x = 787,646.40 × 258,685.18
  4. Step 4: Simplify right side
    525,070x = 203,752,450,760.35
  5. Step 5: Solve for x
    x = 203,752,450,760.35/525,070
  6. Step 6: Final answer
    x = 388,048.17

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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.