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Finding the Fourth Proportional to 288,547.60, 432,821.40 and 182,259.40

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Solution

The fourth proportional to 288,547.60, 432,821.40 and 182,259.40 is: 273,389.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,547.60 : 432,821.40 = 182,259.40 : x
  2. Step 2: Convert to fraction form
    288,547.60/432,821.40 = 182,259.40/x
  3. Step 3: Cross multiply
    288,547.60x = 432,821.40 × 182,259.40
  4. Step 4: Simplify right side
    288,547.60x = 78,885,768,671.16
  5. Step 5: Solve for x
    x = 78,885,768,671.16/288,547.60
  6. Step 6: Final answer
    x = 273,389.10

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1.5x scale

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.