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Finding the Fourth Proportional to 707,925.24, 977,007.42 and 432,267.93

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Solution

The fourth proportional to 707,925.24, 977,007.42 and 432,267.93 is: 596,572.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,925.24 : 977,007.42 = 432,267.93 : x
  2. Step 2: Convert to fraction form
    707,925.24/977,007.42 = 432,267.93/x
  3. Step 3: Cross multiply
    707,925.24x = 977,007.42 × 432,267.93
  4. Step 4: Simplify right side
    707,925.24x = 422,328,975,038.04
  5. Step 5: Solve for x
    x = 422,328,975,038.04/707,925.24
  6. Step 6: Final answer
    x = 596,572.85

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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.