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Finding the Fourth Proportional to 535,518.16, 803,303.93 and 175,657.03

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Solution

The fourth proportional to 535,518.16, 803,303.93 and 175,657.03 is: 263,494.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,518.16 : 803,303.93 = 175,657.03 : x
  2. Step 2: Convert to fraction form
    535,518.16/803,303.93 = 175,657.03/x
  3. Step 3: Cross multiply
    535,518.16x = 803,303.93 × 175,657.03
  4. Step 4: Simplify right side
    535,518.16x = 141,105,980,962.01
  5. Step 5: Solve for x
    x = 141,105,980,962.01/535,518.16
  6. Step 6: Final answer
    x = 263,494.30

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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.