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Finding the Fourth Proportional to 423,506.30, 584,271.99 and 242,120.77

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Solution

The fourth proportional to 423,506.30, 584,271.99 and 242,120.77 is: 334,031.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,506.30 : 584,271.99 = 242,120.77 : x
  2. Step 2: Convert to fraction form
    423,506.30/584,271.99 = 242,120.77/x
  3. Step 3: Cross multiply
    423,506.30x = 584,271.99 × 242,120.77
  4. Step 4: Simplify right side
    423,506.30x = 141,464,382,647.55
  5. Step 5: Solve for x
    x = 141,464,382,647.55/423,506.30
  6. Step 6: Final answer
    x = 334,031.36

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1.5x scale

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.