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Finding the Fourth Proportional to 423,875.61, 584,816.40 and 260,360.64

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Solution

The fourth proportional to 423,875.61, 584,816.40 and 260,360.64 is: 359,216.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,875.61 : 584,816.40 = 260,360.64 : x
  2. Step 2: Convert to fraction form
    423,875.61/584,816.40 = 260,360.64/x
  3. Step 3: Cross multiply
    423,875.61x = 584,816.40 × 260,360.64
  4. Step 4: Simplify right side
    423,875.61x = 152,263,172,186.50
  5. Step 5: Solve for x
    x = 152,263,172,186.50/423,875.61
  6. Step 6: Final answer
    x = 359,216.64

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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.