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Finding the Fourth Proportional to 473,952.96, 710,785.76 and 249,192.16

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Solution

The fourth proportional to 473,952.96, 710,785.76 and 249,192.16 is: 373,712.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,952.96 : 710,785.76 = 249,192.16 : x
  2. Step 2: Convert to fraction form
    473,952.96/710,785.76 = 249,192.16/x
  3. Step 3: Cross multiply
    473,952.96x = 710,785.76 × 249,192.16
  4. Step 4: Simplify right side
    473,952.96x = 177,122,238,831.64
  5. Step 5: Solve for x
    x = 177,122,238,831.64/473,952.96
  6. Step 6: Final answer
    x = 373,712.70

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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.