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Finding the Fourth Proportional to 707,035.98, 975,707.85 and 384,746.00

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Solution

The fourth proportional to 707,035.98, 975,707.85 and 384,746.00 is: 530,948.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,035.98 : 975,707.85 = 384,746.00 : x
  2. Step 2: Convert to fraction form
    707,035.98/975,707.85 = 384,746.00/x
  3. Step 3: Cross multiply
    707,035.98x = 975,707.85 × 384,746.00
  4. Step 4: Simplify right side
    707,035.98x = 375,399,687,577.56
  5. Step 5: Solve for x
    x = 375,399,687,577.56/707,035.98
  6. Step 6: Final answer
    x = 530,948.49

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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.